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Finding the Fourth Proportional to 150,203.42, 207,262.39 and 119,654.32

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Solution

The fourth proportional to 150,203.42, 207,262.39 and 119,654.32 is: 165,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,203.42 : 207,262.39 = 119,654.32 : x
  2. Step 2: Convert to fraction form
    150,203.42/207,262.39 = 119,654.32/x
  3. Step 3: Cross multiply
    150,203.42x = 207,262.39 × 119,654.32
  4. Step 4: Simplify right side
    150,203.42x = 24,799,840,337.02
  5. Step 5: Solve for x
    x = 24,799,840,337.02/150,203.42
  6. Step 6: Final answer
    x = 165,108.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.