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Finding the Fourth Proportional to 365,883.47, 548,509.77 and 141,401.42

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Solution

The fourth proportional to 365,883.47, 548,509.77 and 141,401.42 is: 211,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,883.47 : 548,509.77 = 141,401.42 : x
  2. Step 2: Convert to fraction form
    365,883.47/548,509.77 = 141,401.42/x
  3. Step 3: Cross multiply
    365,883.47x = 548,509.77 × 141,401.42
  4. Step 4: Simplify right side
    365,883.47x = 77,560,057,619.32
  5. Step 5: Solve for x
    x = 77,560,057,619.32/365,883.47
  6. Step 6: Final answer
    x = 211,980.22

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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.