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Finding the Fourth Proportional to 243,784.36, 365,585.60 and 83,815.01

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Solution

The fourth proportional to 243,784.36, 365,585.60 and 83,815.01 is: 125,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,784.36 : 365,585.60 = 83,815.01 : x
  2. Step 2: Convert to fraction form
    243,784.36/365,585.60 = 83,815.01/x
  3. Step 3: Cross multiply
    243,784.36x = 365,585.60 × 83,815.01
  4. Step 4: Simplify right side
    243,784.36x = 30,641,560,729.46
  5. Step 5: Solve for x
    x = 30,641,560,729.46/243,784.36
  6. Step 6: Final answer
    x = 125,691.25

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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.