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Finding the Fourth Proportional to 202,206.30, 303,309.45 and 89,886.30

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Solution

The fourth proportional to 202,206.30, 303,309.45 and 89,886.30 is: 134,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,206.30 : 303,309.45 = 89,886.30 : x
  2. Step 2: Convert to fraction form
    202,206.30/303,309.45 = 89,886.30/x
  3. Step 3: Cross multiply
    202,206.30x = 303,309.45 × 89,886.30
  4. Step 4: Simplify right side
    202,206.30x = 27,263,364,215.54
  5. Step 5: Solve for x
    x = 27,263,364,215.54/202,206.30
  6. Step 6: Final answer
    x = 134,829.45

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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.