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Finding the Fourth Proportional to 193,475.80, 290,432.40 and 149,298.40

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Solution

The fourth proportional to 193,475.80, 290,432.40 and 149,298.40 is: 224,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,475.80 : 290,432.40 = 149,298.40 : x
  2. Step 2: Convert to fraction form
    193,475.80/290,432.40 = 149,298.40/x
  3. Step 3: Cross multiply
    193,475.80x = 290,432.40 × 149,298.40
  4. Step 4: Simplify right side
    193,475.80x = 43,361,092,628.16
  5. Step 5: Solve for x
    x = 43,361,092,628.16/193,475.80
  6. Step 6: Final answer
    x = 224,116.36

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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.