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Finding the Fourth Proportional to 160,044.64, 240,078.64 and 54,862.72

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Solution

The fourth proportional to 160,044.64, 240,078.64 and 54,862.72 is: 82,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,044.64 : 240,078.64 = 54,862.72 : x
  2. Step 2: Convert to fraction form
    160,044.64/240,078.64 = 54,862.72/x
  3. Step 3: Cross multiply
    160,044.64x = 240,078.64 × 54,862.72
  4. Step 4: Simplify right side
    160,044.64x = 13,171,367,204.30
  5. Step 5: Solve for x
    x = 13,171,367,204.30/160,044.64
  6. Step 6: Final answer
    x = 82,298.08

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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.