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Finding the Fourth Proportional to 153,698.50, 230,422.61 and 103,149.64

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Solution

The fourth proportional to 153,698.50, 230,422.61 and 103,149.64 is: 154,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698.50 : 230,422.61 = 103,149.64 : x
  2. Step 2: Convert to fraction form
    153,698.50/230,422.61 = 103,149.64/x
  3. Step 3: Cross multiply
    153,698.50x = 230,422.61 × 103,149.64
  4. Step 4: Simplify right side
    153,698.50x = 23,768,008,753.61
  5. Step 5: Solve for x
    x = 23,768,008,753.61/153,698.50
  6. Step 6: Final answer
    x = 154,640.47

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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.