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Finding the Fourth Proportional to 291,382.11, 402,115.19 and 164,062.26

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Solution

The fourth proportional to 291,382.11, 402,115.19 and 164,062.26 is: 226,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,382.11 : 402,115.19 = 164,062.26 : x
  2. Step 2: Convert to fraction form
    291,382.11/402,115.19 = 164,062.26/x
  3. Step 3: Cross multiply
    291,382.11x = 402,115.19 × 164,062.26
  4. Step 4: Simplify right side
    291,382.11x = 65,971,926,031.42
  5. Step 5: Solve for x
    x = 65,971,926,031.42/291,382.11
  6. Step 6: Final answer
    x = 226,410.35

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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.