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Finding the Fourth Proportional to 102,125.32, 140,928.40 and 59,097.92

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Solution

The fourth proportional to 102,125.32, 140,928.40 and 59,097.92 is: 81,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.32 : 140,928.40 = 59,097.92 : x
  2. Step 2: Convert to fraction form
    102,125.32/140,928.40 = 59,097.92/x
  3. Step 3: Cross multiply
    102,125.32x = 140,928.40 × 59,097.92
  4. Step 4: Simplify right side
    102,125.32x = 8,328,574,808.86
  5. Step 5: Solve for x
    x = 8,328,574,808.86/102,125.32
  6. Step 6: Final answer
    x = 81,552.50

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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.