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Finding the Fourth Proportional to 208,329.60, 287,512.56 and 117,702.16

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Solution

The fourth proportional to 208,329.60, 287,512.56 and 117,702.16 is: 162,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,329.60 : 287,512.56 = 117,702.16 : x
  2. Step 2: Convert to fraction form
    208,329.60/287,512.56 = 117,702.16/x
  3. Step 3: Cross multiply
    208,329.60x = 287,512.56 × 117,702.16
  4. Step 4: Simplify right side
    208,329.60x = 33,840,849,339.13
  5. Step 5: Solve for x
    x = 33,840,849,339.13/208,329.60
  6. Step 6: Final answer
    x = 162,438.99

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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.