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Finding the Fourth Proportional to 208,059.32, 287,121.76 and 117,434.29

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Solution

The fourth proportional to 208,059.32, 287,121.76 and 117,434.29 is: 162,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.32 : 287,121.76 = 117,434.29 : x
  2. Step 2: Convert to fraction form
    208,059.32/287,121.76 = 117,434.29/x
  3. Step 3: Cross multiply
    208,059.32x = 287,121.76 × 117,434.29
  4. Step 4: Simplify right side
    208,059.32x = 33,717,939,017.76
  5. Step 5: Solve for x
    x = 33,717,939,017.76/208,059.32
  6. Step 6: Final answer
    x = 162,059.26

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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.