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Finding the Fourth Proportional to 96,158.24, 144,041.52 and 78,452

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Solution

The fourth proportional to 96,158.24, 144,041.52 and 78,452 is: 117,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,158.24 : 144,041.52 = 78,452 : x
  2. Step 2: Convert to fraction form
    96,158.24/144,041.52 = 78,452/x
  3. Step 3: Cross multiply
    96,158.24x = 144,041.52 × 78,452
  4. Step 4: Simplify right side
    96,158.24x = 11,300,345,327.04
  5. Step 5: Solve for x
    x = 11,300,345,327.04/96,158.24
  6. Step 6: Final answer
    x = 117,518.22

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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.