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Finding the Fourth Proportional to 202,591.20, 304,160.40 and 118,437.60

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Solution

The fourth proportional to 202,591.20, 304,160.40 and 118,437.60 is: 177,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,591.20 : 304,160.40 = 118,437.60 : x
  2. Step 2: Convert to fraction form
    202,591.20/304,160.40 = 118,437.60/x
  3. Step 3: Cross multiply
    202,591.20x = 304,160.40 × 118,437.60
  4. Step 4: Simplify right side
    202,591.20x = 36,024,027,791.04
  5. Step 5: Solve for x
    x = 36,024,027,791.04/202,591.20
  6. Step 6: Final answer
    x = 177,816.35

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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.