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Finding the Fourth Proportional to 302,882.38, 417,980.43 and 166,921.18

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Solution

The fourth proportional to 302,882.38, 417,980.43 and 166,921.18 is: 230,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,882.38 : 417,980.43 = 166,921.18 : x
  2. Step 2: Convert to fraction form
    302,882.38/417,980.43 = 166,921.18/x
  3. Step 3: Cross multiply
    302,882.38x = 417,980.43 × 166,921.18
  4. Step 4: Simplify right side
    302,882.38x = 69,769,785,547.56
  5. Step 5: Solve for x
    x = 69,769,785,547.56/302,882.38
  6. Step 6: Final answer
    x = 230,352.74

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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.