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Finding the Fourth Proportional to 365,465.30, 548,291.39 and 140,765.43

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Solution

The fourth proportional to 365,465.30, 548,291.39 and 140,765.43 is: 211,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,465.30 : 548,291.39 = 140,765.43 : x
  2. Step 2: Convert to fraction form
    365,465.30/548,291.39 = 140,765.43/x
  3. Step 3: Cross multiply
    365,465.30x = 548,291.39 × 140,765.43
  4. Step 4: Simplify right side
    365,465.30x = 77,180,472,574.82
  5. Step 5: Solve for x
    x = 77,180,472,574.82/365,465.30
  6. Step 6: Final answer
    x = 211,184.13

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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.