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Finding the Fourth Proportional to 105,016.72, 144,931.68 and 59,708.92

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Solution

The fourth proportional to 105,016.72, 144,931.68 and 59,708.92 is: 82,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016.72 : 144,931.68 = 59,708.92 : x
  2. Step 2: Convert to fraction form
    105,016.72/144,931.68 = 59,708.92/x
  3. Step 3: Cross multiply
    105,016.72x = 144,931.68 × 59,708.92
  4. Step 4: Simplify right side
    105,016.72x = 8,653,713,063.38
  5. Step 5: Solve for x
    x = 8,653,713,063.38/105,016.72
  6. Step 6: Final answer
    x = 82,403.20

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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.