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Finding the Fourth Proportional to 200,723.16, 301,085.28 and 67,696.86

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Solution

The fourth proportional to 200,723.16, 301,085.28 and 67,696.86 is: 101,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723.16 : 301,085.28 = 67,696.86 : x
  2. Step 2: Convert to fraction form
    200,723.16/301,085.28 = 67,696.86/x
  3. Step 3: Cross multiply
    200,723.16x = 301,085.28 × 67,696.86
  4. Step 4: Simplify right side
    200,723.16x = 20,382,528,048.22
  5. Step 5: Solve for x
    x = 20,382,528,048.22/200,723.16
  6. Step 6: Final answer
    x = 101,545.47

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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.