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Finding the Fourth Proportional to 153,854.20, 230,378.40 and 123,708.20

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Solution

The fourth proportional to 153,854.20, 230,378.40 and 123,708.20 is: 185,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,854.20 : 230,378.40 = 123,708.20 : x
  2. Step 2: Convert to fraction form
    153,854.20/230,378.40 = 123,708.20/x
  3. Step 3: Cross multiply
    153,854.20x = 230,378.40 × 123,708.20
  4. Step 4: Simplify right side
    153,854.20x = 28,499,697,182.88
  5. Step 5: Solve for x
    x = 28,499,697,182.88/153,854.20
  6. Step 6: Final answer
    x = 185,238.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.