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Finding the Fourth Proportional to 402,187.20, 603,280.80 and 152,836.80

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Solution

The fourth proportional to 402,187.20, 603,280.80 and 152,836.80 is: 229,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,187.20 : 603,280.80 = 152,836.80 : x
  2. Step 2: Convert to fraction form
    402,187.20/603,280.80 = 152,836.80/x
  3. Step 3: Cross multiply
    402,187.20x = 603,280.80 × 152,836.80
  4. Step 4: Simplify right side
    402,187.20x = 92,203,506,973.44
  5. Step 5: Solve for x
    x = 92,203,506,973.44/402,187.20
  6. Step 6: Final answer
    x = 229,255.20

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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.