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Finding the Fourth Proportional to 242,281.80, 363,199.14 and 130,040.64

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Solution

The fourth proportional to 242,281.80, 363,199.14 and 130,040.64 is: 194,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,281.80 : 363,199.14 = 130,040.64 : x
  2. Step 2: Convert to fraction form
    242,281.80/363,199.14 = 130,040.64/x
  3. Step 3: Cross multiply
    242,281.80x = 363,199.14 × 130,040.64
  4. Step 4: Simplify right side
    242,281.80x = 47,230,648,613.05
  5. Step 5: Solve for x
    x = 47,230,648,613.05/242,281.80
  6. Step 6: Final answer
    x = 194,940.97

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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.