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Finding the Fourth Proportional to 242,008.28, 363,012.78 and 94,264.28

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Solution

The fourth proportional to 242,008.28, 363,012.78 and 94,264.28 is: 141,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,008.28 : 363,012.78 = 94,264.28 : x
  2. Step 2: Convert to fraction form
    242,008.28/363,012.78 = 94,264.28/x
  3. Step 3: Cross multiply
    242,008.28x = 363,012.78 × 94,264.28
  4. Step 4: Simplify right side
    242,008.28x = 34,219,138,337.50
  5. Step 5: Solve for x
    x = 34,219,138,337.50/242,008.28
  6. Step 6: Final answer
    x = 141,396.56

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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.