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Finding the Fourth Proportional to 264,314.84, 364,351.92 and 162,151.16

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Solution

The fourth proportional to 264,314.84, 364,351.92 and 162,151.16 is: 223,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,314.84 : 364,351.92 = 162,151.16 : x
  2. Step 2: Convert to fraction form
    264,314.84/364,351.92 = 162,151.16/x
  3. Step 3: Cross multiply
    264,314.84x = 364,351.92 × 162,151.16
  4. Step 4: Simplify right side
    264,314.84x = 59,080,086,476.23
  5. Step 5: Solve for x
    x = 59,080,086,476.23/264,314.84
  6. Step 6: Final answer
    x = 223,521.64

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