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Finding the Fourth Proportional to 202,855.59, 304,458.35 and 78,284.07

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Solution

The fourth proportional to 202,855.59, 304,458.35 and 78,284.07 is: 117,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,855.59 : 304,458.35 = 78,284.07 : x
  2. Step 2: Convert to fraction form
    202,855.59/304,458.35 = 78,284.07/x
  3. Step 3: Cross multiply
    202,855.59x = 304,458.35 × 78,284.07
  4. Step 4: Simplify right side
    202,855.59x = 23,834,238,392.06
  5. Step 5: Solve for x
    x = 23,834,238,392.06/202,855.59
  6. Step 6: Final answer
    x = 117,493.62

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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.