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Finding the Fourth Proportional to 202,344.40, 303,443.70 and 102,471.40

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Solution

The fourth proportional to 202,344.40, 303,443.70 and 102,471.40 is: 153,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,344.40 : 303,443.70 = 102,471.40 : x
  2. Step 2: Convert to fraction form
    202,344.40/303,443.70 = 102,471.40/x
  3. Step 3: Cross multiply
    202,344.40x = 303,443.70 × 102,471.40
  4. Step 4: Simplify right side
    202,344.40x = 31,094,300,760.18
  5. Step 5: Solve for x
    x = 31,094,300,760.18/202,344.40
  6. Step 6: Final answer
    x = 153,670.18

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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.