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Finding the Fourth Proportional to 200,750.75, 301,242.77 and 89,942.75

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Solution

The fourth proportional to 200,750.75, 301,242.77 and 89,942.75 is: 134,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,750.75 : 301,242.77 = 89,942.75 : x
  2. Step 2: Convert to fraction form
    200,750.75/301,242.77 = 89,942.75/x
  3. Step 3: Cross multiply
    200,750.75x = 301,242.77 × 89,942.75
  4. Step 4: Simplify right side
    200,750.75x = 27,094,602,701.70
  5. Step 5: Solve for x
    x = 27,094,602,701.70/200,750.75
  6. Step 6: Final answer
    x = 134,966.38

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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.