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Finding the Fourth Proportional to 241,396.48, 362,008.32 and 83,582.56

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Solution

The fourth proportional to 241,396.48, 362,008.32 and 83,582.56 is: 125,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,396.48 : 362,008.32 = 83,582.56 : x
  2. Step 2: Convert to fraction form
    241,396.48/362,008.32 = 83,582.56/x
  3. Step 3: Cross multiply
    241,396.48x = 362,008.32 × 83,582.56
  4. Step 4: Simplify right side
    241,396.48x = 30,257,582,126.90
  5. Step 5: Solve for x
    x = 30,257,582,126.90/241,396.48
  6. Step 6: Final answer
    x = 125,343.92

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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.