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Finding the Fourth Proportional to 162,778.80, 243,789.12 and 158,294.40

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Solution

The fourth proportional to 162,778.80, 243,789.12 and 158,294.40 is: 237,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,778.80 : 243,789.12 = 158,294.40 : x
  2. Step 2: Convert to fraction form
    162,778.80/243,789.12 = 158,294.40/x
  3. Step 3: Cross multiply
    162,778.80x = 243,789.12 × 158,294.40
  4. Step 4: Simplify right side
    162,778.80x = 38,590,452,476.93
  5. Step 5: Solve for x
    x = 38,590,452,476.93/162,778.80
  6. Step 6: Final answer
    x = 237,072.96

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1.5x scale

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.