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Finding the Fourth Proportional to 105,103.15, 145,042.59 and 59,780.14

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Solution

The fourth proportional to 105,103.15, 145,042.59 and 59,780.14 is: 82,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,103.15 : 145,042.59 = 59,780.14 : x
  2. Step 2: Convert to fraction form
    105,103.15/145,042.59 = 59,780.14/x
  3. Step 3: Cross multiply
    105,103.15x = 145,042.59 × 59,780.14
  4. Step 4: Simplify right side
    105,103.15x = 8,670,666,336.16
  5. Step 5: Solve for x
    x = 8,670,666,336.16/105,103.15
  6. Step 6: Final answer
    x = 82,496.73

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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.