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Finding the Fourth Proportional to 102,145.32, 140,957.97 and 59,118.87

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Solution

The fourth proportional to 102,145.32, 140,957.97 and 59,118.87 is: 81,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,145.32 : 140,957.97 = 59,118.87 : x
  2. Step 2: Convert to fraction form
    102,145.32/140,957.97 = 59,118.87/x
  3. Step 3: Cross multiply
    102,145.32x = 140,957.97 × 59,118.87
  4. Step 4: Simplify right side
    102,145.32x = 8,333,275,903.89
  5. Step 5: Solve for x
    x = 8,333,275,903.89/102,145.32
  6. Step 6: Final answer
    x = 81,582.55

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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.