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Finding the Fourth Proportional to 186,537.54, 257,414.31 and 101,652.78

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Solution

The fourth proportional to 186,537.54, 257,414.31 and 101,652.78 is: 140,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,537.54 : 257,414.31 = 101,652.78 : x
  2. Step 2: Convert to fraction form
    186,537.54/257,414.31 = 101,652.78/x
  3. Step 3: Cross multiply
    186,537.54x = 257,414.31 × 101,652.78
  4. Step 4: Simplify right side
    186,537.54x = 26,166,880,223.28
  5. Step 5: Solve for x
    x = 26,166,880,223.28/186,537.54
  6. Step 6: Final answer
    x = 140,276.75

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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.