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Finding the Fourth Proportional to 208,294.64, 287,444.26 and 122,238.24

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Solution

The fourth proportional to 208,294.64, 287,444.26 and 122,238.24 is: 168,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.64 : 287,444.26 = 122,238.24 : x
  2. Step 2: Convert to fraction form
    208,294.64/287,444.26 = 122,238.24/x
  3. Step 3: Cross multiply
    208,294.64x = 287,444.26 × 122,238.24
  4. Step 4: Simplify right side
    208,294.64x = 35,136,680,440.50
  5. Step 5: Solve for x
    x = 35,136,680,440.50/208,294.64
  6. Step 6: Final answer
    x = 168,687.40

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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.