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Finding the Fourth Proportional to 242,101.07, 363,209.95 and 75,889.07

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Solution

The fourth proportional to 242,101.07, 363,209.95 and 75,889.07 is: 113,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,101.07 : 363,209.95 = 75,889.07 : x
  2. Step 2: Convert to fraction form
    242,101.07/363,209.95 = 75,889.07/x
  3. Step 3: Cross multiply
    242,101.07x = 363,209.95 × 75,889.07
  4. Step 4: Simplify right side
    242,101.07x = 27,563,663,504.20
  5. Step 5: Solve for x
    x = 27,563,663,504.20/242,101.07
  6. Step 6: Final answer
    x = 113,851.89

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1.5x scale

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.