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Finding the Fourth Proportional to 160,652.64, 241,017.12 and 55,472.48

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Solution

The fourth proportional to 160,652.64, 241,017.12 and 55,472.48 is: 83,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,652.64 : 241,017.12 = 55,472.48 : x
  2. Step 2: Convert to fraction form
    160,652.64/241,017.12 = 55,472.48/x
  3. Step 3: Cross multiply
    160,652.64x = 241,017.12 × 55,472.48
  4. Step 4: Simplify right side
    160,652.64x = 13,369,817,368.86
  5. Step 5: Solve for x
    x = 13,369,817,368.86/160,652.64
  6. Step 6: Final answer
    x = 83,221.90

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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.