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Finding the Fourth Proportional to 107,462.38, 148,298.16 and 59,720.18

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Solution

The fourth proportional to 107,462.38, 148,298.16 and 59,720.18 is: 82,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,462.38 : 148,298.16 = 59,720.18 : x
  2. Step 2: Convert to fraction form
    107,462.38/148,298.16 = 59,720.18/x
  3. Step 3: Cross multiply
    107,462.38x = 148,298.16 × 59,720.18
  4. Step 4: Simplify right side
    107,462.38x = 8,856,392,808.87
  5. Step 5: Solve for x
    x = 8,856,392,808.87/107,462.38
  6. Step 6: Final answer
    x = 82,413.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.