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Finding the Fourth Proportional to 242,003.80, 363,135.30 and 101,776.60

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Solution

The fourth proportional to 242,003.80, 363,135.30 and 101,776.60 is: 152,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,003.80 : 363,135.30 = 101,776.60 : x
  2. Step 2: Convert to fraction form
    242,003.80/363,135.30 = 101,776.60/x
  3. Step 3: Cross multiply
    242,003.80x = 363,135.30 × 101,776.60
  4. Step 4: Simplify right side
    242,003.80x = 36,958,676,173.98
  5. Step 5: Solve for x
    x = 36,958,676,173.98/242,003.80
  6. Step 6: Final answer
    x = 152,719.40

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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.