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Finding the Fourth Proportional to 186,563.25, 257,457.29 and 101,680.52

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Solution

The fourth proportional to 186,563.25, 257,457.29 and 101,680.52 is: 140,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.25 : 257,457.29 = 101,680.52 : x
  2. Step 2: Convert to fraction form
    186,563.25/257,457.29 = 101,680.52/x
  3. Step 3: Cross multiply
    186,563.25x = 257,457.29 × 101,680.52
  4. Step 4: Simplify right side
    186,563.25x = 26,178,389,329.30
  5. Step 5: Solve for x
    x = 26,178,389,329.30/186,563.25
  6. Step 6: Final answer
    x = 140,319.11

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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.