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Finding the Fourth Proportional to 200,354, 276,488.52 and 110,935.76

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Solution

The fourth proportional to 200,354, 276,488.52 and 110,935.76 is: 153,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,354 : 276,488.52 = 110,935.76 : x
  2. Step 2: Convert to fraction form
    200,354/276,488.52 = 110,935.76/x
  3. Step 3: Cross multiply
    200,354x = 276,488.52 × 110,935.76
  4. Step 4: Simplify right side
    200,354x = 30,672,464,097.48
  5. Step 5: Solve for x
    x = 30,672,464,097.48/200,354
  6. Step 6: Final answer
    x = 153,091.35

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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.