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Finding the Fourth Proportional to 152,077.73, 209,797.52 and 98,380.07

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Solution

The fourth proportional to 152,077.73, 209,797.52 and 98,380.07 is: 135,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,077.73 : 209,797.52 = 98,380.07 : x
  2. Step 2: Convert to fraction form
    152,077.73/209,797.52 = 98,380.07/x
  3. Step 3: Cross multiply
    152,077.73x = 209,797.52 × 98,380.07
  4. Step 4: Simplify right side
    152,077.73x = 20,639,893,162.54
  5. Step 5: Solve for x
    x = 20,639,893,162.54/152,077.73
  6. Step 6: Final answer
    x = 135,719.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.