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Finding the Fourth Proportional to 96,690.46, 145,079.20 and 52,265.20

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Solution

The fourth proportional to 96,690.46, 145,079.20 and 52,265.20 is: 78,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,690.46 : 145,079.20 = 52,265.20 : x
  2. Step 2: Convert to fraction form
    96,690.46/145,079.20 = 52,265.20/x
  3. Step 3: Cross multiply
    96,690.46x = 145,079.20 × 52,265.20
  4. Step 4: Simplify right side
    96,690.46x = 7,582,593,378.50
  5. Step 5: Solve for x
    x = 7,582,593,378.50/96,690.46
  6. Step 6: Final answer
    x = 78,421.32

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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.