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Finding the Fourth Proportional to 205,414.73, 308,117.98 and 93,074.01

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Solution

The fourth proportional to 205,414.73, 308,117.98 and 93,074.01 is: 139,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,414.73 : 308,117.98 = 93,074.01 : x
  2. Step 2: Convert to fraction form
    205,414.73/308,117.98 = 93,074.01/x
  3. Step 3: Cross multiply
    205,414.73x = 308,117.98 × 93,074.01
  4. Step 4: Simplify right side
    205,414.73x = 28,677,776,122.22
  5. Step 5: Solve for x
    x = 28,677,776,122.22/205,414.73
  6. Step 6: Final answer
    x = 139,609.15

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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.