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Finding the Fourth Proportional to 242,008.48, 363,030 and 64,514.56

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Solution

The fourth proportional to 242,008.48, 363,030 and 64,514.56 is: 96,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,008.48 : 363,030 = 64,514.56 : x
  2. Step 2: Convert to fraction form
    242,008.48/363,030 = 64,514.56/x
  3. Step 3: Cross multiply
    242,008.48x = 363,030 × 64,514.56
  4. Step 4: Simplify right side
    242,008.48x = 23,420,720,716.80
  5. Step 5: Solve for x
    x = 23,420,720,716.80/242,008.48
  6. Step 6: Final answer
    x = 96,776.45

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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.