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Finding the Fourth Proportional to 155,200.20, 232,800.30 and 55,363.65

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Solution

The fourth proportional to 155,200.20, 232,800.30 and 55,363.65 is: 83,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,200.20 : 232,800.30 = 55,363.65 : x
  2. Step 2: Convert to fraction form
    155,200.20/232,800.30 = 55,363.65/x
  3. Step 3: Cross multiply
    155,200.20x = 232,800.30 × 55,363.65
  4. Step 4: Simplify right side
    155,200.20x = 12,888,674,329.10
  5. Step 5: Solve for x
    x = 12,888,674,329.10/155,200.20
  6. Step 6: Final answer
    x = 83,045.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.