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Finding the Fourth Proportional to 102,117.77, 140,901.66 and 59,668.10

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Solution

The fourth proportional to 102,117.77, 140,901.66 and 59,668.10 is: 82,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.77 : 140,901.66 = 59,668.10 : x
  2. Step 2: Convert to fraction form
    102,117.77/140,901.66 = 59,668.10/x
  3. Step 3: Cross multiply
    102,117.77x = 140,901.66 × 59,668.10
  4. Step 4: Simplify right side
    102,117.77x = 8,407,334,339.05
  5. Step 5: Solve for x
    x = 8,407,334,339.05/102,117.77
  6. Step 6: Final answer
    x = 82,329.79

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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.