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Finding the Fourth Proportional to 202,032.18, 303,082.29 and 61,758

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Solution

The fourth proportional to 202,032.18, 303,082.29 and 61,758 is: 92,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,032.18 : 303,082.29 = 61,758 : x
  2. Step 2: Convert to fraction form
    202,032.18/303,082.29 = 61,758/x
  3. Step 3: Cross multiply
    202,032.18x = 303,082.29 × 61,758
  4. Step 4: Simplify right side
    202,032.18x = 18,717,756,065.82
  5. Step 5: Solve for x
    x = 18,717,756,065.82/202,032.18
  6. Step 6: Final answer
    x = 92,647.40

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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.