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Finding the Fourth Proportional to 159,585.60, 239,378.40 and 54,523.20

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Solution

The fourth proportional to 159,585.60, 239,378.40 and 54,523.20 is: 81,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,585.60 : 239,378.40 = 54,523.20 : x
  2. Step 2: Convert to fraction form
    159,585.60/239,378.40 = 54,523.20/x
  3. Step 3: Cross multiply
    159,585.60x = 239,378.40 × 54,523.20
  4. Step 4: Simplify right side
    159,585.60x = 13,051,676,378.88
  5. Step 5: Solve for x
    x = 13,051,676,378.88/159,585.60
  6. Step 6: Final answer
    x = 81,784.80

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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.