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Finding the Fourth Proportional to 102,044.94, 140,776.56 and 59,584.74

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Solution

The fourth proportional to 102,044.94, 140,776.56 and 59,584.74 is: 82,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.94 : 140,776.56 = 59,584.74 : x
  2. Step 2: Convert to fraction form
    102,044.94/140,776.56 = 59,584.74/x
  3. Step 3: Cross multiply
    102,044.94x = 140,776.56 × 59,584.74
  4. Step 4: Simplify right side
    102,044.94x = 8,388,134,725.69
  5. Step 5: Solve for x
    x = 8,388,134,725.69/102,044.94
  6. Step 6: Final answer
    x = 82,200.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.