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Finding the Fourth Proportional to 186,751.88, 257,707.23 and 106,168.22

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Solution

The fourth proportional to 186,751.88, 257,707.23 and 106,168.22 is: 146,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,751.88 : 257,707.23 = 106,168.22 : x
  2. Step 2: Convert to fraction form
    186,751.88/257,707.23 = 106,168.22/x
  3. Step 3: Cross multiply
    186,751.88x = 257,707.23 × 106,168.22
  4. Step 4: Simplify right side
    186,751.88x = 27,360,317,890.23
  5. Step 5: Solve for x
    x = 27,360,317,890.23/186,751.88
  6. Step 6: Final answer
    x = 146,506.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.