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Finding the Fourth Proportional to 242,633.32, 363,945.66 and 102,393.16

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Solution

The fourth proportional to 242,633.32, 363,945.66 and 102,393.16 is: 153,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,633.32 : 363,945.66 = 102,393.16 : x
  2. Step 2: Convert to fraction form
    242,633.32/363,945.66 = 102,393.16/x
  3. Step 3: Cross multiply
    242,633.32x = 363,945.66 × 102,393.16
  4. Step 4: Simplify right side
    242,633.32x = 37,265,546,195.69
  5. Step 5: Solve for x
    x = 37,265,546,195.69/242,633.32
  6. Step 6: Final answer
    x = 153,587.92

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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.