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Finding the Fourth Proportional to 194,280.96, 291,248.55 and 75,925.38

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Solution

The fourth proportional to 194,280.96, 291,248.55 and 75,925.38 is: 113,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,280.96 : 291,248.55 = 75,925.38 : x
  2. Step 2: Convert to fraction form
    194,280.96/291,248.55 = 75,925.38/x
  3. Step 3: Cross multiply
    194,280.96x = 291,248.55 × 75,925.38
  4. Step 4: Simplify right side
    194,280.96x = 22,113,156,833.20
  5. Step 5: Solve for x
    x = 22,113,156,833.20/194,280.96
  6. Step 6: Final answer
    x = 113,820.50

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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.