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Finding the Fourth Proportional to 202,288.40, 303,359.70 and 102,415.40

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Solution

The fourth proportional to 202,288.40, 303,359.70 and 102,415.40 is: 153,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,288.40 : 303,359.70 = 102,415.40 : x
  2. Step 2: Convert to fraction form
    202,288.40/303,359.70 = 102,415.40/x
  3. Step 3: Cross multiply
    202,288.40x = 303,359.70 × 102,415.40
  4. Step 4: Simplify right side
    202,288.40x = 31,068,705,019.38
  5. Step 5: Solve for x
    x = 31,068,705,019.38/202,288.40
  6. Step 6: Final answer
    x = 153,586.19

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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.