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Finding the Fourth Proportional to 243,838.65, 365,663.21 and 83,884.21

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Solution

The fourth proportional to 243,838.65, 365,663.21 and 83,884.21 is: 125,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,838.65 : 365,663.21 = 83,884.21 : x
  2. Step 2: Convert to fraction form
    243,838.65/365,663.21 = 83,884.21/x
  3. Step 3: Cross multiply
    243,838.65x = 365,663.21 × 83,884.21
  4. Step 4: Simplify right side
    243,838.65x = 30,673,368,635.18
  5. Step 5: Solve for x
    x = 30,673,368,635.18/243,838.65
  6. Step 6: Final answer
    x = 125,793.71

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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.