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Finding the Fourth Proportional to 152,105.80, 209,473.62 and 148,849.48

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Solution

The fourth proportional to 152,105.80, 209,473.62 and 148,849.48 is: 204,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,105.80 : 209,473.62 = 148,849.48 : x
  2. Step 2: Convert to fraction form
    152,105.80/209,473.62 = 148,849.48/x
  3. Step 3: Cross multiply
    152,105.80x = 209,473.62 × 148,849.48
  4. Step 4: Simplify right side
    152,105.80x = 31,180,039,410.72
  5. Step 5: Solve for x
    x = 31,180,039,410.72/152,105.80
  6. Step 6: Final answer
    x = 204,989.15

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