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Finding the Fourth Proportional to 153,919.20, 230,763.60 and 83,877.60

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Solution

The fourth proportional to 153,919.20, 230,763.60 and 83,877.60 is: 125,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,919.20 : 230,763.60 = 83,877.60 : x
  2. Step 2: Convert to fraction form
    153,919.20/230,763.60 = 83,877.60/x
  3. Step 3: Cross multiply
    153,919.20x = 230,763.60 × 83,877.60
  4. Step 4: Simplify right side
    153,919.20x = 19,355,896,935.36
  5. Step 5: Solve for x
    x = 19,355,896,935.36/153,919.20
  6. Step 6: Final answer
    x = 125,753.62

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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.