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Finding the Fourth Proportional to 242,530.20, 363,708.90 and 84,763.80

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Solution

The fourth proportional to 242,530.20, 363,708.90 and 84,763.80 is: 127,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.20 : 363,708.90 = 84,763.80 : x
  2. Step 2: Convert to fraction form
    242,530.20/363,708.90 = 84,763.80/x
  3. Step 3: Cross multiply
    242,530.20x = 363,708.90 × 84,763.80
  4. Step 4: Simplify right side
    242,530.20x = 30,829,348,457.82
  5. Step 5: Solve for x
    x = 30,829,348,457.82/242,530.20
  6. Step 6: Final answer
    x = 127,115.50

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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.