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Finding the Fourth Proportional to 200,214.80, 300,233.64 and 59,947.28

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Solution

The fourth proportional to 200,214.80, 300,233.64 and 59,947.28 is: 89,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,214.80 : 300,233.64 = 59,947.28 : x
  2. Step 2: Convert to fraction form
    200,214.80/300,233.64 = 59,947.28/x
  3. Step 3: Cross multiply
    200,214.80x = 300,233.64 × 59,947.28
  4. Step 4: Simplify right side
    200,214.80x = 17,998,190,082.50
  5. Step 5: Solve for x
    x = 17,998,190,082.50/200,214.80
  6. Step 6: Final answer
    x = 89,894.40

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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.