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Finding the Fourth Proportional to 150,874.40, 226,304.40 and 51,024.80

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Solution

The fourth proportional to 150,874.40, 226,304.40 and 51,024.80 is: 76,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,874.40 : 226,304.40 = 51,024.80 : x
  2. Step 2: Convert to fraction form
    150,874.40/226,304.40 = 51,024.80/x
  3. Step 3: Cross multiply
    150,874.40x = 226,304.40 × 51,024.80
  4. Step 4: Simplify right side
    150,874.40x = 11,547,136,749.12
  5. Step 5: Solve for x
    x = 11,547,136,749.12/150,874.40
  6. Step 6: Final answer
    x = 76,534.77

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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.