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Finding the Fourth Proportional to 200,486.90, 276,671.92 and 109,846.30

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Solution

The fourth proportional to 200,486.90, 276,671.92 and 109,846.30 is: 151,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,486.90 : 276,671.92 = 109,846.30 : x
  2. Step 2: Convert to fraction form
    200,486.90/276,671.92 = 109,846.30/x
  3. Step 3: Cross multiply
    200,486.90x = 276,671.92 × 109,846.30
  4. Step 4: Simplify right side
    200,486.90x = 30,391,386,484.32
  5. Step 5: Solve for x
    x = 30,391,386,484.32/200,486.90
  6. Step 6: Final answer
    x = 151,587.89

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1.5x scale

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.