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Finding the Fourth Proportional to 242,805.30, 363,879.90 and 162,615.30

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Solution

The fourth proportional to 242,805.30, 363,879.90 and 162,615.30 is: 243,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,805.30 : 363,879.90 = 162,615.30 : x
  2. Step 2: Convert to fraction form
    242,805.30/363,879.90 = 162,615.30/x
  3. Step 3: Cross multiply
    242,805.30x = 363,879.90 × 162,615.30
  4. Step 4: Simplify right side
    242,805.30x = 59,172,439,102.47
  5. Step 5: Solve for x
    x = 59,172,439,102.47/242,805.30
  6. Step 6: Final answer
    x = 243,703.24

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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.