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Finding the Fourth Proportional to 198,655.73, 297,977.00 and 86,336.06

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Solution

The fourth proportional to 198,655.73, 297,977.00 and 86,336.06 is: 129,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,655.73 : 297,977.00 = 86,336.06 : x
  2. Step 2: Convert to fraction form
    198,655.73/297,977.00 = 86,336.06/x
  3. Step 3: Cross multiply
    198,655.73x = 297,977.00 × 86,336.06
  4. Step 4: Simplify right side
    198,655.73x = 25,726,159,718.94
  5. Step 5: Solve for x
    x = 25,726,159,718.94/198,655.73
  6. Step 6: Final answer
    x = 129,501.22

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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.