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Finding the Fourth Proportional to 204,357.92, 306,256.32 and 104,307.36

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Solution

The fourth proportional to 204,357.92, 306,256.32 and 104,307.36 is: 156,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,357.92 : 306,256.32 = 104,307.36 : x
  2. Step 2: Convert to fraction form
    204,357.92/306,256.32 = 104,307.36/x
  3. Step 3: Cross multiply
    204,357.92x = 306,256.32 × 104,307.36
  4. Step 4: Simplify right side
    204,357.92x = 31,944,788,222.52
  5. Step 5: Solve for x
    x = 31,944,788,222.52/204,357.92
  6. Step 6: Final answer
    x = 156,317.84

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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.