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Finding the Fourth Proportional to 162,959.70, 243,856.35 and 148,962.90

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Solution

The fourth proportional to 162,959.70, 243,856.35 and 148,962.90 is: 222,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,959.70 : 243,856.35 = 148,962.90 : x
  2. Step 2: Convert to fraction form
    162,959.70/243,856.35 = 148,962.90/x
  3. Step 3: Cross multiply
    162,959.70x = 243,856.35 × 148,962.90
  4. Step 4: Simplify right side
    162,959.70x = 36,325,549,079.42
  5. Step 5: Solve for x
    x = 36,325,549,079.42/162,959.70
  6. Step 6: Final answer
    x = 222,911.24

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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.