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Finding the Fourth Proportional to 194,781.40, 291,956.10 and 76,413.40

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Solution

The fourth proportional to 194,781.40, 291,956.10 and 76,413.40 is: 114,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,781.40 : 291,956.10 = 76,413.40 : x
  2. Step 2: Convert to fraction form
    194,781.40/291,956.10 = 76,413.40/x
  3. Step 3: Cross multiply
    194,781.40x = 291,956.10 × 76,413.40
  4. Step 4: Simplify right side
    194,781.40x = 22,309,358,251.74
  5. Step 5: Solve for x
    x = 22,309,358,251.74/194,781.40
  6. Step 6: Final answer
    x = 114,535.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.