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Finding the Fourth Proportional to 96,034.20, 144,051.30 and 76,205.40

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Solution

The fourth proportional to 96,034.20, 144,051.30 and 76,205.40 is: 114,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,034.20 : 144,051.30 = 76,205.40 : x
  2. Step 2: Convert to fraction form
    96,034.20/144,051.30 = 76,205.40/x
  3. Step 3: Cross multiply
    96,034.20x = 144,051.30 × 76,205.40
  4. Step 4: Simplify right side
    96,034.20x = 10,977,486,937.02
  5. Step 5: Solve for x
    x = 10,977,486,937.02/96,034.20
  6. Step 6: Final answer
    x = 114,308.10

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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.