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Finding the Fourth Proportional to 194,697.12, 292,001.64 and 89,414.88

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Solution

The fourth proportional to 194,697.12, 292,001.64 and 89,414.88 is: 134,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,697.12 : 292,001.64 = 89,414.88 : x
  2. Step 2: Convert to fraction form
    194,697.12/292,001.64 = 89,414.88/x
  3. Step 3: Cross multiply
    194,697.12x = 292,001.64 × 89,414.88
  4. Step 4: Simplify right side
    194,697.12x = 26,109,291,600.40
  5. Step 5: Solve for x
    x = 26,109,291,600.40/194,697.12
  6. Step 6: Final answer
    x = 134,102.09

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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.