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Finding the Fourth Proportional to 203,931.60, 305,897.40 and 156,637.73

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Solution

The fourth proportional to 203,931.60, 305,897.40 and 156,637.73 is: 234,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,931.60 : 305,897.40 = 156,637.73 : x
  2. Step 2: Convert to fraction form
    203,931.60/305,897.40 = 156,637.73/x
  3. Step 3: Cross multiply
    203,931.60x = 305,897.40 × 156,637.73
  4. Step 4: Simplify right side
    203,931.60x = 47,915,074,348.90
  5. Step 5: Solve for x
    x = 47,915,074,348.90/203,931.60
  6. Step 6: Final answer
    x = 234,956.60

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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.