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Finding the Fourth Proportional to 242,460.51, 363,734.88 and 100,228.53

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Solution

The fourth proportional to 242,460.51, 363,734.88 and 100,228.53 is: 150,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,460.51 : 363,734.88 = 100,228.53 : x
  2. Step 2: Convert to fraction form
    242,460.51/363,734.88 = 100,228.53/x
  3. Step 3: Cross multiply
    242,460.51x = 363,734.88 × 100,228.53
  4. Step 4: Simplify right side
    242,460.51x = 36,456,613,320.28
  5. Step 5: Solve for x
    x = 36,456,613,320.28/242,460.51
  6. Step 6: Final answer
    x = 150,361.04

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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.