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Finding the Fourth Proportional to 200,885.40, 277,224.80 and 110,239.79

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Solution

The fourth proportional to 200,885.40, 277,224.80 and 110,239.79 is: 152,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,885.40 : 277,224.80 = 110,239.79 : x
  2. Step 2: Convert to fraction form
    200,885.40/277,224.80 = 110,239.79/x
  3. Step 3: Cross multiply
    200,885.40x = 277,224.80 × 110,239.79
  4. Step 4: Simplify right side
    200,885.40x = 30,561,201,797.47
  5. Step 5: Solve for x
    x = 30,561,201,797.47/200,885.40
  6. Step 6: Final answer
    x = 152,132.52

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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.