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Finding the Fourth Proportional to 242,367.20, 363,555.84 and 64,874

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Solution

The fourth proportional to 242,367.20, 363,555.84 and 64,874 is: 97,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,367.20 : 363,555.84 = 64,874 : x
  2. Step 2: Convert to fraction form
    242,367.20/363,555.84 = 64,874/x
  3. Step 3: Cross multiply
    242,367.20x = 363,555.84 × 64,874
  4. Step 4: Simplify right side
    242,367.20x = 23,585,321,564.16
  5. Step 5: Solve for x
    x = 23,585,321,564.16/242,367.20
  6. Step 6: Final answer
    x = 97,312.35

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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.