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Finding the Fourth Proportional to 202,047.40, 303,071.10 and 61,805.80

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Solution

The fourth proportional to 202,047.40, 303,071.10 and 61,805.80 is: 92,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,047.40 : 303,071.10 = 61,805.80 : x
  2. Step 2: Convert to fraction form
    202,047.40/303,071.10 = 61,805.80/x
  3. Step 3: Cross multiply
    202,047.40x = 303,071.10 × 61,805.80
  4. Step 4: Simplify right side
    202,047.40x = 18,731,551,792.38
  5. Step 5: Solve for x
    x = 18,731,551,792.38/202,047.40
  6. Step 6: Final answer
    x = 92,708.70

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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.