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Finding the Fourth Proportional to 242,151.06, 363,202.04 and 64,676

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Solution

The fourth proportional to 242,151.06, 363,202.04 and 64,676 is: 97,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,151.06 : 363,202.04 = 64,676 : x
  2. Step 2: Convert to fraction form
    242,151.06/363,202.04 = 64,676/x
  3. Step 3: Cross multiply
    242,151.06x = 363,202.04 × 64,676
  4. Step 4: Simplify right side
    242,151.06x = 23,490,455,139.04
  5. Step 5: Solve for x
    x = 23,490,455,139.04/242,151.06
  6. Step 6: Final answer
    x = 97,007.44

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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.