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Finding the Fourth Proportional to 367,095.80, 550,844.40 and 142,465.16

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Solution

The fourth proportional to 367,095.80, 550,844.40 and 142,465.16 is: 213,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,095.80 : 550,844.40 = 142,465.16 : x
  2. Step 2: Convert to fraction form
    367,095.80/550,844.40 = 142,465.16/x
  3. Step 3: Cross multiply
    367,095.80x = 550,844.40 × 142,465.16
  4. Step 4: Simplify right side
    367,095.80x = 78,476,135,581.10
  5. Step 5: Solve for x
    x = 78,476,135,581.10/367,095.80
  6. Step 6: Final answer
    x = 213,775.63

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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.