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Finding the Fourth Proportional to 119,293.04, 164,621.11 and 65,578.10

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Solution

The fourth proportional to 119,293.04, 164,621.11 and 65,578.10 is: 90,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,293.04 : 164,621.11 = 65,578.10 : x
  2. Step 2: Convert to fraction form
    119,293.04/164,621.11 = 65,578.10/x
  3. Step 3: Cross multiply
    119,293.04x = 164,621.11 × 65,578.10
  4. Step 4: Simplify right side
    119,293.04x = 10,795,538,626.64
  5. Step 5: Solve for x
    x = 10,795,538,626.64/119,293.04
  6. Step 6: Final answer
    x = 90,495.97

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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.