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Finding the Fourth Proportional to 202,294.16, 303,528.72 and 77,606

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Solution

The fourth proportional to 202,294.16, 303,528.72 and 77,606 is: 116,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.16 : 303,528.72 = 77,606 : x
  2. Step 2: Convert to fraction form
    202,294.16/303,528.72 = 77,606/x
  3. Step 3: Cross multiply
    202,294.16x = 303,528.72 × 77,606
  4. Step 4: Simplify right side
    202,294.16x = 23,555,649,844.32
  5. Step 5: Solve for x
    x = 23,555,649,844.32/202,294.16
  6. Step 6: Final answer
    x = 116,442.56

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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.