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Finding the Fourth Proportional to 242,009.28, 363,014.28 and 94,265.28

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Solution

The fourth proportional to 242,009.28, 363,014.28 and 94,265.28 is: 141,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,009.28 : 363,014.28 = 94,265.28 : x
  2. Step 2: Convert to fraction form
    242,009.28/363,014.28 = 94,265.28/x
  3. Step 3: Cross multiply
    242,009.28x = 363,014.28 × 94,265.28
  4. Step 4: Simplify right side
    242,009.28x = 34,219,642,748.20
  5. Step 5: Solve for x
    x = 34,219,642,748.20/242,009.28
  6. Step 6: Final answer
    x = 141,398.06

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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.