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Finding the Fourth Proportional to 105,024.61, 144,928.20 and 59,696.29

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Solution

The fourth proportional to 105,024.61, 144,928.20 and 59,696.29 is: 82,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024.61 : 144,928.20 = 59,696.29 : x
  2. Step 2: Convert to fraction form
    105,024.61/144,928.20 = 59,696.29/x
  3. Step 3: Cross multiply
    105,024.61x = 144,928.20 × 59,696.29
  4. Step 4: Simplify right side
    105,024.61x = 8,651,675,856.38
  5. Step 5: Solve for x
    x = 8,651,675,856.38/105,024.61
  6. Step 6: Final answer
    x = 82,377.61

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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.