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Finding the Fourth Proportional to 155,422.60, 233,133.90 and 142,462.60

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Solution

The fourth proportional to 155,422.60, 233,133.90 and 142,462.60 is: 213,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,422.60 : 233,133.90 = 142,462.60 : x
  2. Step 2: Convert to fraction form
    155,422.60/233,133.90 = 142,462.60/x
  3. Step 3: Cross multiply
    155,422.60x = 233,133.90 × 142,462.60
  4. Step 4: Simplify right side
    155,422.60x = 33,212,861,542.14
  5. Step 5: Solve for x
    x = 33,212,861,542.14/155,422.60
  6. Step 6: Final answer
    x = 213,693.90

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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.