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Finding the Fourth Proportional to 110,515.84, 165,656.32 and 75,368.32

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Solution

The fourth proportional to 110,515.84, 165,656.32 and 75,368.32 is: 112,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,515.84 : 165,656.32 = 75,368.32 : x
  2. Step 2: Convert to fraction form
    110,515.84/165,656.32 = 75,368.32/x
  3. Step 3: Cross multiply
    110,515.84x = 165,656.32 × 75,368.32
  4. Step 4: Simplify right side
    110,515.84x = 12,485,238,535.78
  5. Step 5: Solve for x
    x = 12,485,238,535.78/110,515.84
  6. Step 6: Final answer
    x = 112,972.39

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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.