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Finding the Fourth Proportional to 200,902.80, 301,354.24 and 156,562.76

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Solution

The fourth proportional to 200,902.80, 301,354.24 and 156,562.76 is: 234,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,902.80 : 301,354.24 = 156,562.76 : x
  2. Step 2: Convert to fraction form
    200,902.80/301,354.24 = 156,562.76/x
  3. Step 3: Cross multiply
    200,902.80x = 301,354.24 × 156,562.76
  4. Step 4: Simplify right side
    200,902.80x = 47,180,851,552.10
  5. Step 5: Solve for x
    x = 47,180,851,552.10/200,902.80
  6. Step 6: Final answer
    x = 234,844.17

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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.