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Finding the Fourth Proportional to 207,895.83, 286,896 and 112,402.30

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Solution

The fourth proportional to 207,895.83, 286,896 and 112,402.30 is: 155,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,895.83 : 286,896 = 112,402.30 : x
  2. Step 2: Convert to fraction form
    207,895.83/286,896 = 112,402.30/x
  3. Step 3: Cross multiply
    207,895.83x = 286,896 × 112,402.30
  4. Step 4: Simplify right side
    207,895.83x = 32,247,770,260.80
  5. Step 5: Solve for x
    x = 32,247,770,260.80/207,895.83
  6. Step 6: Final answer
    x = 155,115.04

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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.