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Finding the Fourth Proportional to 208,207.92, 287,326.88 and 112,714.56

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Solution

The fourth proportional to 208,207.92, 287,326.88 and 112,714.56 is: 155,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,207.92 : 287,326.88 = 112,714.56 : x
  2. Step 2: Convert to fraction form
    208,207.92/287,326.88 = 112,714.56/x
  3. Step 3: Cross multiply
    208,207.92x = 287,326.88 × 112,714.56
  4. Step 4: Simplify right side
    208,207.92x = 32,385,922,855.37
  5. Step 5: Solve for x
    x = 32,385,922,855.37/208,207.92
  6. Step 6: Final answer
    x = 155,546.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.