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Finding the Fourth Proportional to 243,807.42, 365,620.19 and 83,838.10

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Solution

The fourth proportional to 243,807.42, 365,620.19 and 83,838.10 is: 125,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,807.42 : 365,620.19 = 83,838.10 : x
  2. Step 2: Convert to fraction form
    243,807.42/365,620.19 = 83,838.10/x
  3. Step 3: Cross multiply
    243,807.42x = 365,620.19 × 83,838.10
  4. Step 4: Simplify right side
    243,807.42x = 30,652,902,051.24
  5. Step 5: Solve for x
    x = 30,652,902,051.24/243,807.42
  6. Step 6: Final answer
    x = 125,725.88

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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.