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Finding the Fourth Proportional to 178,412.85, 246,221.01 and 117,877.41

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Solution

The fourth proportional to 178,412.85, 246,221.01 and 117,877.41 is: 162,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,412.85 : 246,221.01 = 117,877.41 : x
  2. Step 2: Convert to fraction form
    178,412.85/246,221.01 = 117,877.41/x
  3. Step 3: Cross multiply
    178,412.85x = 246,221.01 × 117,877.41
  4. Step 4: Simplify right side
    178,412.85x = 29,023,894,946.38
  5. Step 5: Solve for x
    x = 29,023,894,946.38/178,412.85
  6. Step 6: Final answer
    x = 162,678.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.