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Finding the Fourth Proportional to 194,614.80, 292,140.90 and 150,437.40

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Solution

The fourth proportional to 194,614.80, 292,140.90 and 150,437.40 is: 225,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,614.80 : 292,140.90 = 150,437.40 : x
  2. Step 2: Convert to fraction form
    194,614.80/292,140.90 = 150,437.40/x
  3. Step 3: Cross multiply
    194,614.80x = 292,140.90 × 150,437.40
  4. Step 4: Simplify right side
    194,614.80x = 43,948,917,429.66
  5. Step 5: Solve for x
    x = 43,948,917,429.66/194,614.80
  6. Step 6: Final answer
    x = 225,825.16

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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.