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Finding the Fourth Proportional to 105,002.74, 144,898.52 and 59,674.74

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Solution

The fourth proportional to 105,002.74, 144,898.52 and 59,674.74 is: 82,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,002.74 : 144,898.52 = 59,674.74 : x
  2. Step 2: Convert to fraction form
    105,002.74/144,898.52 = 59,674.74/x
  3. Step 3: Cross multiply
    105,002.74x = 144,898.52 × 59,674.74
  4. Step 4: Simplify right side
    105,002.74x = 8,646,781,507.38
  5. Step 5: Solve for x
    x = 8,646,781,507.38/105,002.74
  6. Step 6: Final answer
    x = 82,348.15

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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.