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Finding the Fourth Proportional to 355,825.80, 534,041.10 and 145,614.60

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Solution

The fourth proportional to 355,825.80, 534,041.10 and 145,614.60 is: 218,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,825.80 : 534,041.10 = 145,614.60 : x
  2. Step 2: Convert to fraction form
    355,825.80/534,041.10 = 145,614.60/x
  3. Step 3: Cross multiply
    355,825.80x = 534,041.10 × 145,614.60
  4. Step 4: Simplify right side
    355,825.80x = 77,764,181,160.06
  5. Step 5: Solve for x
    x = 77,764,181,160.06/355,825.80
  6. Step 6: Final answer
    x = 218,545.65

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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.