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Finding the Fourth Proportional to 202,883.40, 304,325.10 and 199,384.20

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Solution

The fourth proportional to 202,883.40, 304,325.10 and 199,384.20 is: 299,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883.40 : 304,325.10 = 199,384.20 : x
  2. Step 2: Convert to fraction form
    202,883.40/304,325.10 = 199,384.20/x
  3. Step 3: Cross multiply
    202,883.40x = 304,325.10 × 199,384.20
  4. Step 4: Simplify right side
    202,883.40x = 60,677,616,603.42
  5. Step 5: Solve for x
    x = 60,677,616,603.42/202,883.40
  6. Step 6: Final answer
    x = 299,076.30

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1.5x scale

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.