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Finding the Fourth Proportional to 254,454.40, 381,566.40 and 96,630.40

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Solution

The fourth proportional to 254,454.40, 381,566.40 and 96,630.40 is: 144,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,454.40 : 381,566.40 = 96,630.40 : x
  2. Step 2: Convert to fraction form
    254,454.40/381,566.40 = 96,630.40/x
  3. Step 3: Cross multiply
    254,454.40x = 381,566.40 × 96,630.40
  4. Step 4: Simplify right side
    254,454.40x = 36,870,913,858.56
  5. Step 5: Solve for x
    x = 36,870,913,858.56/254,454.40
  6. Step 6: Final answer
    x = 144,901.85

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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.