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Finding the Fourth Proportional to 332,048.60, 497,616.05 and 142,281.80

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Solution

The fourth proportional to 332,048.60, 497,616.05 and 142,281.80 is: 213,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,048.60 : 497,616.05 = 142,281.80 : x
  2. Step 2: Convert to fraction form
    332,048.60/497,616.05 = 142,281.80/x
  3. Step 3: Cross multiply
    332,048.60x = 497,616.05 × 142,281.80
  4. Step 4: Simplify right side
    332,048.60x = 70,801,704,103.40
  5. Step 5: Solve for x
    x = 70,801,704,103.40/332,048.60
  6. Step 6: Final answer
    x = 213,226.93

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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.