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Finding the Fourth Proportional to 202,913.40, 304,370.10 and 197,081.40

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Solution

The fourth proportional to 202,913.40, 304,370.10 and 197,081.40 is: 295,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,913.40 : 304,370.10 = 197,081.40 : x
  2. Step 2: Convert to fraction form
    202,913.40/304,370.10 = 197,081.40/x
  3. Step 3: Cross multiply
    202,913.40x = 304,370.10 × 197,081.40
  4. Step 4: Simplify right side
    202,913.40x = 59,985,685,426.14
  5. Step 5: Solve for x
    x = 59,985,685,426.14/202,913.40
  6. Step 6: Final answer
    x = 295,622.10

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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.