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Finding the Fourth Proportional to 311,025.20, 466,537.80 and 153,561.20

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Solution

The fourth proportional to 311,025.20, 466,537.80 and 153,561.20 is: 230,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,025.20 : 466,537.80 = 153,561.20 : x
  2. Step 2: Convert to fraction form
    311,025.20/466,537.80 = 153,561.20/x
  3. Step 3: Cross multiply
    311,025.20x = 466,537.80 × 153,561.20
  4. Step 4: Simplify right side
    311,025.20x = 71,642,104,413.36
  5. Step 5: Solve for x
    x = 71,642,104,413.36/311,025.20
  6. Step 6: Final answer
    x = 230,341.80

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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.