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Finding the Fourth Proportional to 162,314.40, 243,471.60 and 106,327.20

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Solution

The fourth proportional to 162,314.40, 243,471.60 and 106,327.20 is: 159,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,314.40 : 243,471.60 = 106,327.20 : x
  2. Step 2: Convert to fraction form
    162,314.40/243,471.60 = 106,327.20/x
  3. Step 3: Cross multiply
    162,314.40x = 243,471.60 × 106,327.20
  4. Step 4: Simplify right side
    162,314.40x = 25,887,653,507.52
  5. Step 5: Solve for x
    x = 25,887,653,507.52/162,314.40
  6. Step 6: Final answer
    x = 159,490.80

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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.