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Finding the Fourth Proportional to 153,850.40, 230,948.40 and 83,693.60

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Solution

The fourth proportional to 153,850.40, 230,948.40 and 83,693.60 is: 125,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,850.40 : 230,948.40 = 83,693.60 : x
  2. Step 2: Convert to fraction form
    153,850.40/230,948.40 = 83,693.60/x
  3. Step 3: Cross multiply
    153,850.40x = 230,948.40 × 83,693.60
  4. Step 4: Simplify right side
    153,850.40x = 19,328,903,010.24
  5. Step 5: Solve for x
    x = 19,328,903,010.24/153,850.40
  6. Step 6: Final answer
    x = 125,634.40

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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.