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Finding the Fourth Proportional to 202,927.40, 304,131.90 and 97,519.40

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Solution

The fourth proportional to 202,927.40, 304,131.90 and 97,519.40 is: 146,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,927.40 : 304,131.90 = 97,519.40 : x
  2. Step 2: Convert to fraction form
    202,927.40/304,131.90 = 97,519.40/x
  3. Step 3: Cross multiply
    202,927.40x = 304,131.90 × 97,519.40
  4. Step 4: Simplify right side
    202,927.40x = 29,658,760,408.86
  5. Step 5: Solve for x
    x = 29,658,760,408.86/202,927.40
  6. Step 6: Final answer
    x = 146,154.54

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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.