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Finding the Fourth Proportional to 200,565.61, 276,784.10 and 109,915.54

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Solution

The fourth proportional to 200,565.61, 276,784.10 and 109,915.54 is: 151,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,565.61 : 276,784.10 = 109,915.54 : x
  2. Step 2: Convert to fraction form
    200,565.61/276,784.10 = 109,915.54/x
  3. Step 3: Cross multiply
    200,565.61x = 276,784.10 × 109,915.54
  4. Step 4: Simplify right side
    200,565.61x = 30,422,873,814.91
  5. Step 5: Solve for x
    x = 30,422,873,814.91/200,565.61
  6. Step 6: Final answer
    x = 151,685.40

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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.