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Finding the Fourth Proportional to 342,837.97, 514,392.32 and 106,199.10

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Solution

The fourth proportional to 342,837.97, 514,392.32 and 106,199.10 is: 159,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,837.97 : 514,392.32 = 106,199.10 : x
  2. Step 2: Convert to fraction form
    342,837.97/514,392.32 = 106,199.10/x
  3. Step 3: Cross multiply
    342,837.97x = 514,392.32 × 106,199.10
  4. Step 4: Simplify right side
    342,837.97x = 54,628,001,696.41
  5. Step 5: Solve for x
    x = 54,628,001,696.41/342,837.97
  6. Step 6: Final answer
    x = 159,340.58

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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.