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Finding the Fourth Proportional to 202,946.40, 304,419.60 and 92,138.40

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Solution

The fourth proportional to 202,946.40, 304,419.60 and 92,138.40 is: 138,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,946.40 : 304,419.60 = 92,138.40 : x
  2. Step 2: Convert to fraction form
    202,946.40/304,419.60 = 92,138.40/x
  3. Step 3: Cross multiply
    202,946.40x = 304,419.60 × 92,138.40
  4. Step 4: Simplify right side
    202,946.40x = 28,048,734,872.64
  5. Step 5: Solve for x
    x = 28,048,734,872.64/202,946.40
  6. Step 6: Final answer
    x = 138,207.60

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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.