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Finding the Fourth Proportional to 200,358, 276,494.04 and 110,939.76

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Solution

The fourth proportional to 200,358, 276,494.04 and 110,939.76 is: 153,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,358 : 276,494.04 = 110,939.76 : x
  2. Step 2: Convert to fraction form
    200,358/276,494.04 = 110,939.76/x
  3. Step 3: Cross multiply
    200,358x = 276,494.04 × 110,939.76
  4. Step 4: Simplify right side
    200,358x = 30,674,182,439.03
  5. Step 5: Solve for x
    x = 30,674,182,439.03/200,358
  6. Step 6: Final answer
    x = 153,096.87

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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.