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Finding the Fourth Proportional to 266,085.23, 399,244.71 and 139,696.11

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Solution

The fourth proportional to 266,085.23, 399,244.71 and 139,696.11 is: 209,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,085.23 : 399,244.71 = 139,696.11 : x
  2. Step 2: Convert to fraction form
    266,085.23/399,244.71 = 139,696.11/x
  3. Step 3: Cross multiply
    266,085.23x = 399,244.71 × 139,696.11
  4. Step 4: Simplify right side
    266,085.23x = 55,772,931,175.28
  5. Step 5: Solve for x
    x = 55,772,931,175.28/266,085.23
  6. Step 6: Final answer
    x = 209,605.51

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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.