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Finding the Fourth Proportional to 186,571.32, 257,475.36 and 106,012.50

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Solution

The fourth proportional to 186,571.32, 257,475.36 and 106,012.50 is: 146,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,571.32 : 257,475.36 = 106,012.50 : x
  2. Step 2: Convert to fraction form
    186,571.32/257,475.36 = 106,012.50/x
  3. Step 3: Cross multiply
    186,571.32x = 257,475.36 × 106,012.50
  4. Step 4: Simplify right side
    186,571.32x = 27,295,606,602
  5. Step 5: Solve for x
    x = 27,295,606,602/186,571.32
  6. Step 6: Final answer
    x = 146,301.19

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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.