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Finding the Fourth Proportional to 242,595.60, 363,893.76 and 84,823.80

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Solution

The fourth proportional to 242,595.60, 363,893.76 and 84,823.80 is: 127,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,595.60 : 363,893.76 = 84,823.80 : x
  2. Step 2: Convert to fraction form
    242,595.60/363,893.76 = 84,823.80/x
  3. Step 3: Cross multiply
    242,595.60x = 363,893.76 × 84,823.80
  4. Step 4: Simplify right side
    242,595.60x = 30,866,851,519.49
  5. Step 5: Solve for x
    x = 30,866,851,519.49/242,595.60
  6. Step 6: Final answer
    x = 127,235.83

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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.