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Finding the Fourth Proportional to 215,833.60, 323,404.80 and 141,875.20

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Solution

The fourth proportional to 215,833.60, 323,404.80 and 141,875.20 is: 212,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,833.60 : 323,404.80 = 141,875.20 : x
  2. Step 2: Convert to fraction form
    215,833.60/323,404.80 = 141,875.20/x
  3. Step 3: Cross multiply
    215,833.60x = 323,404.80 × 141,875.20
  4. Step 4: Simplify right side
    215,833.60x = 45,883,120,680.96
  5. Step 5: Solve for x
    x = 45,883,120,680.96/215,833.60
  6. Step 6: Final answer
    x = 212,585.62

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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.