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Finding the Fourth Proportional to 207,914.38, 286,922.01 and 112,421.14

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Solution

The fourth proportional to 207,914.38, 286,922.01 and 112,421.14 is: 155,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,914.38 : 286,922.01 = 112,421.14 : x
  2. Step 2: Convert to fraction form
    207,914.38/286,922.01 = 112,421.14/x
  3. Step 3: Cross multiply
    207,914.38x = 286,922.01 × 112,421.14
  4. Step 4: Simplify right side
    207,914.38x = 32,256,099,455.29
  5. Step 5: Solve for x
    x = 32,256,099,455.29/207,914.38
  6. Step 6: Final answer
    x = 155,141.26

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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.