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Finding the Fourth Proportional to 148,855.20, 223,282.80 and 38,047.20

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Solution

The fourth proportional to 148,855.20, 223,282.80 and 38,047.20 is: 57,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,855.20 : 223,282.80 = 38,047.20 : x
  2. Step 2: Convert to fraction form
    148,855.20/223,282.80 = 38,047.20/x
  3. Step 3: Cross multiply
    148,855.20x = 223,282.80 × 38,047.20
  4. Step 4: Simplify right side
    148,855.20x = 8,495,285,348.16
  5. Step 5: Solve for x
    x = 8,495,285,348.16/148,855.20
  6. Step 6: Final answer
    x = 57,070.80

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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.