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Finding the Fourth Proportional to 200,304.64, 276,419.91 and 109,659.80

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Solution

The fourth proportional to 200,304.64, 276,419.91 and 109,659.80 is: 151,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,304.64 : 276,419.91 = 109,659.80 : x
  2. Step 2: Convert to fraction form
    200,304.64/276,419.91 = 109,659.80/x
  3. Step 3: Cross multiply
    200,304.64x = 276,419.91 × 109,659.80
  4. Step 4: Simplify right side
    200,304.64x = 30,312,152,737.67
  5. Step 5: Solve for x
    x = 30,312,152,737.67/200,304.64
  6. Step 6: Final answer
    x = 151,330.26

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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.