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Finding the Fourth Proportional to 269,564.32, 371,982.81 and 148,705.84

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Solution

The fourth proportional to 269,564.32, 371,982.81 and 148,705.84 is: 205,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.32 : 371,982.81 = 148,705.84 : x
  2. Step 2: Convert to fraction form
    269,564.32/371,982.81 = 148,705.84/x
  3. Step 3: Cross multiply
    269,564.32x = 371,982.81 × 148,705.84
  4. Step 4: Simplify right side
    269,564.32x = 55,316,016,226.61
  5. Step 5: Solve for x
    x = 55,316,016,226.61/269,564.32
  6. Step 6: Final answer
    x = 205,205.26

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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.