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Finding the Fourth Proportional to 295,208.80, 442,813.20 and 145,472.20

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Solution

The fourth proportional to 295,208.80, 442,813.20 and 145,472.20 is: 218,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,208.80 : 442,813.20 = 145,472.20 : x
  2. Step 2: Convert to fraction form
    295,208.80/442,813.20 = 145,472.20/x
  3. Step 3: Cross multiply
    295,208.80x = 442,813.20 × 145,472.20
  4. Step 4: Simplify right side
    295,208.80x = 64,417,010,393.04
  5. Step 5: Solve for x
    x = 64,417,010,393.04/295,208.80
  6. Step 6: Final answer
    x = 218,208.30

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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.