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Finding the Fourth Proportional to 155,452.40, 233,293.80 and 102,844.40

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Solution

The fourth proportional to 155,452.40, 233,293.80 and 102,844.40 is: 154,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,452.40 : 233,293.80 = 102,844.40 : x
  2. Step 2: Convert to fraction form
    155,452.40/233,293.80 = 102,844.40/x
  3. Step 3: Cross multiply
    155,452.40x = 233,293.80 × 102,844.40
  4. Step 4: Simplify right side
    155,452.40x = 23,992,960,884.72
  5. Step 5: Solve for x
    x = 23,992,960,884.72/155,452.40
  6. Step 6: Final answer
    x = 154,342.81

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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.