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Finding the Fourth Proportional to 144,876.80, 217,367.40 and 64,908.20

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Solution

The fourth proportional to 144,876.80, 217,367.40 and 64,908.20 is: 97,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,876.80 : 217,367.40 = 64,908.20 : x
  2. Step 2: Convert to fraction form
    144,876.80/217,367.40 = 64,908.20/x
  3. Step 3: Cross multiply
    144,876.80x = 217,367.40 × 64,908.20
  4. Step 4: Simplify right side
    144,876.80x = 14,108,926,672.68
  5. Step 5: Solve for x
    x = 14,108,926,672.68/144,876.80
  6. Step 6: Final answer
    x = 97,385.69

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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.