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Finding the Fourth Proportional to 208,208.40, 287,324.16 and 112,714.26

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Solution

The fourth proportional to 208,208.40, 287,324.16 and 112,714.26 is: 155,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,208.40 : 287,324.16 = 112,714.26 : x
  2. Step 2: Convert to fraction form
    208,208.40/287,324.16 = 112,714.26/x
  3. Step 3: Cross multiply
    208,208.40x = 287,324.16 × 112,714.26
  4. Step 4: Simplify right side
    208,208.40x = 32,385,530,074.52
  5. Step 5: Solve for x
    x = 32,385,530,074.52/208,208.40
  6. Step 6: Final answer
    x = 155,543.82

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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.