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Finding the Fourth Proportional to 152,390.72, 210,274.20 and 95,762

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Solution

The fourth proportional to 152,390.72, 210,274.20 and 95,762 is: 132,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,390.72 : 210,274.20 = 95,762 : x
  2. Step 2: Convert to fraction form
    152,390.72/210,274.20 = 95,762/x
  3. Step 3: Cross multiply
    152,390.72x = 210,274.20 × 95,762
  4. Step 4: Simplify right side
    152,390.72x = 20,136,277,940.40
  5. Step 5: Solve for x
    x = 20,136,277,940.40/152,390.72
  6. Step 6: Final answer
    x = 132,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.