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Finding the Fourth Proportional to 119,071.02, 178,605.99 and 35,965.02

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Solution

The fourth proportional to 119,071.02, 178,605.99 and 35,965.02 is: 53,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,071.02 : 178,605.99 = 35,965.02 : x
  2. Step 2: Convert to fraction form
    119,071.02/178,605.99 = 35,965.02/x
  3. Step 3: Cross multiply
    119,071.02x = 178,605.99 × 35,965.02
  4. Step 4: Simplify right side
    119,071.02x = 6,423,568,002.47
  5. Step 5: Solve for x
    x = 6,423,568,002.47/119,071.02
  6. Step 6: Final answer
    x = 53,947.37

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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.