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Finding the Fourth Proportional to 200,744.70, 301,117.05 and 53,000.70

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Solution

The fourth proportional to 200,744.70, 301,117.05 and 53,000.70 is: 79,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.70 : 301,117.05 = 53,000.70 : x
  2. Step 2: Convert to fraction form
    200,744.70/301,117.05 = 53,000.70/x
  3. Step 3: Cross multiply
    200,744.70x = 301,117.05 × 53,000.70
  4. Step 4: Simplify right side
    200,744.70x = 15,959,414,431.94
  5. Step 5: Solve for x
    x = 15,959,414,431.94/200,744.70
  6. Step 6: Final answer
    x = 79,501.05

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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.