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Finding the Fourth Proportional to 185,337.34, 277,807.01 and 78,631.23

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Solution

The fourth proportional to 185,337.34, 277,807.01 and 78,631.23 is: 117,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,337.34 : 277,807.01 = 78,631.23 : x
  2. Step 2: Convert to fraction form
    185,337.34/277,807.01 = 78,631.23/x
  3. Step 3: Cross multiply
    185,337.34x = 277,807.01 × 78,631.23
  4. Step 4: Simplify right side
    185,337.34x = 21,844,306,505.77
  5. Step 5: Solve for x
    x = 21,844,306,505.77/185,337.34
  6. Step 6: Final answer
    x = 117,862.42

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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.