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Finding the Fourth Proportional to 170,605.71, 256,047.93 and 120,733.83

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Solution

The fourth proportional to 170,605.71, 256,047.93 and 120,733.83 is: 181,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,605.71 : 256,047.93 = 120,733.83 : x
  2. Step 2: Convert to fraction form
    170,605.71/256,047.93 = 120,733.83/x
  3. Step 3: Cross multiply
    170,605.71x = 256,047.93 × 120,733.83
  4. Step 4: Simplify right side
    170,605.71x = 30,913,647,252.47
  5. Step 5: Solve for x
    x = 30,913,647,252.47/170,605.71
  6. Step 6: Final answer
    x = 181,199.37

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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.