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Finding the Fourth Proportional to 147,676.92, 221,504.67 and 57,702.72

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Solution

The fourth proportional to 147,676.92, 221,504.67 and 57,702.72 is: 86,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,676.92 : 221,504.67 = 57,702.72 : x
  2. Step 2: Convert to fraction form
    147,676.92/221,504.67 = 57,702.72/x
  3. Step 3: Cross multiply
    147,676.92x = 221,504.67 × 57,702.72
  4. Step 4: Simplify right side
    147,676.92x = 12,781,421,951.70
  5. Step 5: Solve for x
    x = 12,781,421,951.70/147,676.92
  6. Step 6: Final answer
    x = 86,549.90

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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.