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Finding the Fourth Proportional to 110,038.14, 151,702.20 and 75,581.82

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Solution

The fourth proportional to 110,038.14, 151,702.20 and 75,581.82 is: 104,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,038.14 : 151,702.20 = 75,581.82 : x
  2. Step 2: Convert to fraction form
    110,038.14/151,702.20 = 75,581.82/x
  3. Step 3: Cross multiply
    110,038.14x = 151,702.20 × 75,581.82
  4. Step 4: Simplify right side
    110,038.14x = 11,465,928,374.00
  5. Step 5: Solve for x
    x = 11,465,928,374.00/110,038.14
  6. Step 6: Final answer
    x = 104,199.58

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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.