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Finding the Fourth Proportional to 102,482.80, 141,388.14 and 59,438.16

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Solution

The fourth proportional to 102,482.80, 141,388.14 and 59,438.16 is: 82,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,482.80 : 141,388.14 = 59,438.16 : x
  2. Step 2: Convert to fraction form
    102,482.80/141,388.14 = 59,438.16/x
  3. Step 3: Cross multiply
    102,482.80x = 141,388.14 × 59,438.16
  4. Step 4: Simplify right side
    102,482.80x = 8,403,850,712.66
  5. Step 5: Solve for x
    x = 8,403,850,712.66/102,482.80
  6. Step 6: Final answer
    x = 82,002.55

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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.