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Finding the Fourth Proportional to 204,308.19, 282,084.18 and 127,858.17

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Solution

The fourth proportional to 204,308.19, 282,084.18 and 127,858.17 is: 176,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,308.19 : 282,084.18 = 127,858.17 : x
  2. Step 2: Convert to fraction form
    204,308.19/282,084.18 = 127,858.17/x
  3. Step 3: Cross multiply
    204,308.19x = 282,084.18 × 127,858.17
  4. Step 4: Simplify right side
    204,308.19x = 36,066,767,040.75
  5. Step 5: Solve for x
    x = 36,066,767,040.75/204,308.19
  6. Step 6: Final answer
    x = 176,531.19

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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.