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Finding the Fourth Proportional to 186,424.54, 257,268.84 and 101,541.61

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Solution

The fourth proportional to 186,424.54, 257,268.84 and 101,541.61 is: 140,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,424.54 : 257,268.84 = 101,541.61 : x
  2. Step 2: Convert to fraction form
    186,424.54/257,268.84 = 101,541.61/x
  3. Step 3: Cross multiply
    186,424.54x = 257,268.84 × 101,541.61
  4. Step 4: Simplify right side
    186,424.54x = 26,123,492,216.43
  5. Step 5: Solve for x
    x = 26,123,492,216.43/186,424.54
  6. Step 6: Final answer
    x = 140,129.04

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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.