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Finding the Fourth Proportional to 110,414.64, 152,307.48 and 78,113.12

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Solution

The fourth proportional to 110,414.64, 152,307.48 and 78,113.12 is: 107,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,414.64 : 152,307.48 = 78,113.12 : x
  2. Step 2: Convert to fraction form
    110,414.64/152,307.48 = 78,113.12/x
  3. Step 3: Cross multiply
    110,414.64x = 152,307.48 × 78,113.12
  4. Step 4: Simplify right side
    110,414.64x = 11,897,212,462.14
  5. Step 5: Solve for x
    x = 11,897,212,462.14/110,414.64
  6. Step 6: Final answer
    x = 107,750.32

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