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Finding the Fourth Proportional to 97,876.80, 146,815.20 and 41,702.40

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Solution

The fourth proportional to 97,876.80, 146,815.20 and 41,702.40 is: 62,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,876.80 : 146,815.20 = 41,702.40 : x
  2. Step 2: Convert to fraction form
    97,876.80/146,815.20 = 41,702.40/x
  3. Step 3: Cross multiply
    97,876.80x = 146,815.20 × 41,702.40
  4. Step 4: Simplify right side
    97,876.80x = 6,122,546,196.48
  5. Step 5: Solve for x
    x = 6,122,546,196.48/97,876.80
  6. Step 6: Final answer
    x = 62,553.60

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1.5x scale

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.