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Finding the Fourth Proportional to 194,641.96, 291,948.36 and 54,411.52

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Solution

The fourth proportional to 194,641.96, 291,948.36 and 54,411.52 is: 81,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,641.96 : 291,948.36 = 54,411.52 : x
  2. Step 2: Convert to fraction form
    194,641.96/291,948.36 = 54,411.52/x
  3. Step 3: Cross multiply
    194,641.96x = 291,948.36 × 54,411.52
  4. Step 4: Simplify right side
    194,641.96x = 15,885,353,095.19
  5. Step 5: Solve for x
    x = 15,885,353,095.19/194,641.96
  6. Step 6: Final answer
    x = 81,613.20

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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.