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Finding the Fourth Proportional to 162,954.72, 224,865.36 and 99,282.24

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Solution

The fourth proportional to 162,954.72, 224,865.36 and 99,282.24 is: 137,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,954.72 : 224,865.36 = 99,282.24 : x
  2. Step 2: Convert to fraction form
    162,954.72/224,865.36 = 99,282.24/x
  3. Step 3: Cross multiply
    162,954.72x = 224,865.36 × 99,282.24
  4. Step 4: Simplify right side
    162,954.72x = 22,325,136,639.21
  5. Step 5: Solve for x
    x = 22,325,136,639.21/162,954.72
  6. Step 6: Final answer
    x = 137,002.09

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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.