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Finding the Fourth Proportional to 204,368.31, 306,109.40 and 98,966.25

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Solution

The fourth proportional to 204,368.31, 306,109.40 and 98,966.25 is: 148,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,368.31 : 306,109.40 = 98,966.25 : x
  2. Step 2: Convert to fraction form
    204,368.31/306,109.40 = 98,966.25/x
  3. Step 3: Cross multiply
    204,368.31x = 306,109.40 × 98,966.25
  4. Step 4: Simplify right side
    204,368.31x = 30,294,498,912.92
  5. Step 5: Solve for x
    x = 30,294,498,912.92/204,368.31
  6. Step 6: Final answer
    x = 148,234.82

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1.5x scale

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.