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Finding the Fourth Proportional to 200,735.76, 301,220.26 and 89,927.76

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Solution

The fourth proportional to 200,735.76, 301,220.26 and 89,927.76 is: 134,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.76 : 301,220.26 = 89,927.76 : x
  2. Step 2: Convert to fraction form
    200,735.76/301,220.26 = 89,927.76/x
  3. Step 3: Cross multiply
    200,735.76x = 301,220.26 × 89,927.76
  4. Step 4: Simplify right side
    200,735.76x = 27,088,063,248.42
  5. Step 5: Solve for x
    x = 27,088,063,248.42/200,735.76
  6. Step 6: Final answer
    x = 134,943.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.