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Finding the Fourth Proportional to 110,438.30, 165,657.45 and 51,254.30

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Solution

The fourth proportional to 110,438.30, 165,657.45 and 51,254.30 is: 76,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,438.30 : 165,657.45 = 51,254.30 : x
  2. Step 2: Convert to fraction form
    110,438.30/165,657.45 = 51,254.30/x
  3. Step 3: Cross multiply
    110,438.30x = 165,657.45 × 51,254.30
  4. Step 4: Simplify right side
    110,438.30x = 8,490,656,639.54
  5. Step 5: Solve for x
    x = 8,490,656,639.54/110,438.30
  6. Step 6: Final answer
    x = 76,881.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.