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Finding the Fourth Proportional to 243,266.13, 364,950.46 and 91,464.19

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Solution

The fourth proportional to 243,266.13, 364,950.46 and 91,464.19 is: 137,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,266.13 : 364,950.46 = 91,464.19 : x
  2. Step 2: Convert to fraction form
    243,266.13/364,950.46 = 91,464.19/x
  3. Step 3: Cross multiply
    243,266.13x = 364,950.46 × 91,464.19
  4. Step 4: Simplify right side
    243,266.13x = 33,379,896,160.61
  5. Step 5: Solve for x
    x = 33,379,896,160.61/243,266.13
  6. Step 6: Final answer
    x = 137,215.55

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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.