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Finding the Fourth Proportional to 208,144.32, 287,239.14 and 112,651.02

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Solution

The fourth proportional to 208,144.32, 287,239.14 and 112,651.02 is: 155,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144.32 : 287,239.14 = 112,651.02 : x
  2. Step 2: Convert to fraction form
    208,144.32/287,239.14 = 112,651.02/x
  3. Step 3: Cross multiply
    208,144.32x = 287,239.14 × 112,651.02
  4. Step 4: Simplify right side
    208,144.32x = 32,357,782,104.92
  5. Step 5: Solve for x
    x = 32,357,782,104.92/208,144.32
  6. Step 6: Final answer
    x = 155,458.40

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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.