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Finding the Fourth Proportional to 207,714.32, 286,645.78 and 112,221.02

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Solution

The fourth proportional to 207,714.32, 286,645.78 and 112,221.02 is: 154,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,714.32 : 286,645.78 = 112,221.02 : x
  2. Step 2: Convert to fraction form
    207,714.32/286,645.78 = 112,221.02/x
  3. Step 3: Cross multiply
    207,714.32x = 286,645.78 × 112,221.02
  4. Step 4: Simplify right side
    207,714.32x = 32,167,681,810.30
  5. Step 5: Solve for x
    x = 32,167,681,810.30/207,714.32
  6. Step 6: Final answer
    x = 154,865.02

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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.