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Finding the Fourth Proportional to 208,059.19, 287,121.59 and 117,434.16

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Solution

The fourth proportional to 208,059.19, 287,121.59 and 117,434.16 is: 162,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.19 : 287,121.59 = 117,434.16 : x
  2. Step 2: Convert to fraction form
    208,059.19/287,121.59 = 117,434.16/x
  3. Step 3: Cross multiply
    208,059.19x = 287,121.59 × 117,434.16
  4. Step 4: Simplify right side
    208,059.19x = 33,717,882,870.15
  5. Step 5: Solve for x
    x = 33,717,882,870.15/208,059.19
  6. Step 6: Final answer
    x = 162,059.09

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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.