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Finding the Fourth Proportional to 200,594.16, 276,826.68 and 109,958.40

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Solution

The fourth proportional to 200,594.16, 276,826.68 and 109,958.40 is: 151,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,594.16 : 276,826.68 = 109,958.40 : x
  2. Step 2: Convert to fraction form
    200,594.16/276,826.68 = 109,958.40/x
  3. Step 3: Cross multiply
    200,594.16x = 276,826.68 × 109,958.40
  4. Step 4: Simplify right side
    200,594.16x = 30,439,418,810.11
  5. Step 5: Solve for x
    x = 30,439,418,810.11/200,594.16
  6. Step 6: Final answer
    x = 151,746.29

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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.