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Finding the Fourth Proportional to 263,802.17, 364,065.47 and 149,091.42

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Solution

The fourth proportional to 263,802.17, 364,065.47 and 149,091.42 is: 205,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,802.17 : 364,065.47 = 149,091.42 : x
  2. Step 2: Convert to fraction form
    263,802.17/364,065.47 = 149,091.42/x
  3. Step 3: Cross multiply
    263,802.17x = 364,065.47 × 149,091.42
  4. Step 4: Simplify right side
    263,802.17x = 54,279,037,895.27
  5. Step 5: Solve for x
    x = 54,279,037,895.27/263,802.17
  6. Step 6: Final answer
    x = 205,756.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.