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Finding the Fourth Proportional to 233,147.60, 349,721.40 and 83,459.60

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Solution

The fourth proportional to 233,147.60, 349,721.40 and 83,459.60 is: 125,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.60 : 349,721.40 = 83,459.60 : x
  2. Step 2: Convert to fraction form
    233,147.60/349,721.40 = 83,459.60/x
  3. Step 3: Cross multiply
    233,147.60x = 349,721.40 × 83,459.60
  4. Step 4: Simplify right side
    233,147.60x = 29,187,608,155.44
  5. Step 5: Solve for x
    x = 29,187,608,155.44/233,147.60
  6. Step 6: Final answer
    x = 125,189.40

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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.