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Finding the Fourth Proportional to 185,294.27, 277,957.80 and 52,175.67

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Solution

The fourth proportional to 185,294.27, 277,957.80 and 52,175.67 is: 78,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,294.27 : 277,957.80 = 52,175.67 : x
  2. Step 2: Convert to fraction form
    185,294.27/277,957.80 = 52,175.67/x
  3. Step 3: Cross multiply
    185,294.27x = 277,957.80 × 52,175.67
  4. Step 4: Simplify right side
    185,294.27x = 14,502,634,446.73
  5. Step 5: Solve for x
    x = 14,502,634,446.73/185,294.27
  6. Step 6: Final answer
    x = 78,268.12

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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.