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Finding the Fourth Proportional to 200,309.85, 276,427.68 and 109,671.69

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Solution

The fourth proportional to 200,309.85, 276,427.68 and 109,671.69 is: 151,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,309.85 : 276,427.68 = 109,671.69 : x
  2. Step 2: Convert to fraction form
    200,309.85/276,427.68 = 109,671.69/x
  3. Step 3: Cross multiply
    200,309.85x = 276,427.68 × 109,671.69
  4. Step 4: Simplify right side
    200,309.85x = 30,316,290,828.38
  5. Step 5: Solve for x
    x = 30,316,290,828.38/200,309.85
  6. Step 6: Final answer
    x = 151,346.98

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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.