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Finding the Fourth Proportional to 202,788.16, 304,178.88 and 60,633.76

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Solution

The fourth proportional to 202,788.16, 304,178.88 and 60,633.76 is: 90,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,788.16 : 304,178.88 = 60,633.76 : x
  2. Step 2: Convert to fraction form
    202,788.16/304,178.88 = 60,633.76/x
  3. Step 3: Cross multiply
    202,788.16x = 304,178.88 × 60,633.76
  4. Step 4: Simplify right side
    202,788.16x = 18,443,509,206.99
  5. Step 5: Solve for x
    x = 18,443,509,206.99/202,788.16
  6. Step 6: Final answer
    x = 90,949.64

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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.