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Finding the Fourth Proportional to 204,479.34, 282,159.30 and 113,828.19

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Solution

The fourth proportional to 204,479.34, 282,159.30 and 113,828.19 is: 157,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,479.34 : 282,159.30 = 113,828.19 : x
  2. Step 2: Convert to fraction form
    204,479.34/282,159.30 = 113,828.19/x
  3. Step 3: Cross multiply
    204,479.34x = 282,159.30 × 113,828.19
  4. Step 4: Simplify right side
    204,479.34x = 32,117,681,139.14
  5. Step 5: Solve for x
    x = 32,117,681,139.14/204,479.34
  6. Step 6: Final answer
    x = 157,070.55

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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.