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Finding the Fourth Proportional to 266,188, 399,085.17 and 160,983.58

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Solution

The fourth proportional to 266,188, 399,085.17 and 160,983.58 is: 241,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,188 : 399,085.17 = 160,983.58 : x
  2. Step 2: Convert to fraction form
    266,188/399,085.17 = 160,983.58/x
  3. Step 3: Cross multiply
    266,188x = 399,085.17 × 160,983.58
  4. Step 4: Simplify right side
    266,188x = 64,246,159,391.51
  5. Step 5: Solve for x
    x = 64,246,159,391.51/266,188
  6. Step 6: Final answer
    x = 241,356.33

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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.