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Finding the Fourth Proportional to 160,054.32, 240,023.88 and 54,845.04

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Solution

The fourth proportional to 160,054.32, 240,023.88 and 54,845.04 is: 82,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,054.32 : 240,023.88 = 54,845.04 : x
  2. Step 2: Convert to fraction form
    160,054.32/240,023.88 = 54,845.04/x
  3. Step 3: Cross multiply
    160,054.32x = 240,023.88 × 54,845.04
  4. Step 4: Simplify right side
    160,054.32x = 13,164,119,299.56
  5. Step 5: Solve for x
    x = 13,164,119,299.56/160,054.32
  6. Step 6: Final answer
    x = 82,247.82

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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.