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Finding the Fourth Proportional to 243,913.38, 365,882.34 and 77,714.34

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Solution

The fourth proportional to 243,913.38, 365,882.34 and 77,714.34 is: 116,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,913.38 : 365,882.34 = 77,714.34 : x
  2. Step 2: Convert to fraction form
    243,913.38/365,882.34 = 77,714.34/x
  3. Step 3: Cross multiply
    243,913.38x = 365,882.34 × 77,714.34
  4. Step 4: Simplify right side
    243,913.38x = 28,434,304,570.76
  5. Step 5: Solve for x
    x = 28,434,304,570.76/243,913.38
  6. Step 6: Final answer
    x = 116,575.42

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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.