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Finding the Fourth Proportional to 153,594.28, 230,356.86 and 55,098.28

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Solution

The fourth proportional to 153,594.28, 230,356.86 and 55,098.28 is: 82,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,594.28 : 230,356.86 = 55,098.28 : x
  2. Step 2: Convert to fraction form
    153,594.28/230,356.86 = 55,098.28/x
  3. Step 3: Cross multiply
    153,594.28x = 230,356.86 × 55,098.28
  4. Step 4: Simplify right side
    153,594.28x = 12,692,266,772.20
  5. Step 5: Solve for x
    x = 12,692,266,772.20/153,594.28
  6. Step 6: Final answer
    x = 82,635.02

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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.