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Finding the Fourth Proportional to 116,003.72, 160,037.29 and 75,702.98

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Solution

The fourth proportional to 116,003.72, 160,037.29 and 75,702.98 is: 104,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,003.72 : 160,037.29 = 75,702.98 : x
  2. Step 2: Convert to fraction form
    116,003.72/160,037.29 = 75,702.98/x
  3. Step 3: Cross multiply
    116,003.72x = 160,037.29 × 75,702.98
  4. Step 4: Simplify right side
    116,003.72x = 12,115,299,764.12
  5. Step 5: Solve for x
    x = 12,115,299,764.12/116,003.72
  6. Step 6: Final answer
    x = 104,438.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.