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Finding the Fourth Proportional to 194,116.59, 291,174.80 and 53,875.17

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Solution

The fourth proportional to 194,116.59, 291,174.80 and 53,875.17 is: 80,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,116.59 : 291,174.80 = 53,875.17 : x
  2. Step 2: Convert to fraction form
    194,116.59/291,174.80 = 53,875.17/x
  3. Step 3: Cross multiply
    194,116.59x = 291,174.80 × 53,875.17
  4. Step 4: Simplify right side
    194,116.59x = 15,687,091,580.34
  5. Step 5: Solve for x
    x = 15,687,091,580.34/194,116.59
  6. Step 6: Final answer
    x = 80,812.73

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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.