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Finding the Fourth Proportional to 369,884.52, 510,443.91 and 200,122.02

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Solution

The fourth proportional to 369,884.52, 510,443.91 and 200,122.02 is: 276,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,884.52 : 510,443.91 = 200,122.02 : x
  2. Step 2: Convert to fraction form
    369,884.52/510,443.91 = 200,122.02/x
  3. Step 3: Cross multiply
    369,884.52x = 510,443.91 × 200,122.02
  4. Step 4: Simplify right side
    369,884.52x = 102,151,066,365.90
  5. Step 5: Solve for x
    x = 102,151,066,365.90/369,884.52
  6. Step 6: Final answer
    x = 276,170.16

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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.