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Finding the Fourth Proportional to 243,729.48, 365,460.24 and 75,203.82

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Solution

The fourth proportional to 243,729.48, 365,460.24 and 75,203.82 is: 112,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,729.48 : 365,460.24 = 75,203.82 : x
  2. Step 2: Convert to fraction form
    243,729.48/365,460.24 = 75,203.82/x
  3. Step 3: Cross multiply
    243,729.48x = 365,460.24 × 75,203.82
  4. Step 4: Simplify right side
    243,729.48x = 27,484,006,106.12
  5. Step 5: Solve for x
    x = 27,484,006,106.12/243,729.48
  6. Step 6: Final answer
    x = 112,764.39

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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.