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Finding the Fourth Proportional to 186,353.91, 257,167.31 and 101,470.77

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Solution

The fourth proportional to 186,353.91, 257,167.31 and 101,470.77 is: 140,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,353.91 : 257,167.31 = 101,470.77 : x
  2. Step 2: Convert to fraction form
    186,353.91/257,167.31 = 101,470.77/x
  3. Step 3: Cross multiply
    186,353.91x = 257,167.31 × 101,470.77
  4. Step 4: Simplify right side
    186,353.91x = 26,094,964,457.17
  5. Step 5: Solve for x
    x = 26,094,964,457.17/186,353.91
  6. Step 6: Final answer
    x = 140,029.07

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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.