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Finding the Fourth Proportional to 162,465.78, 224,143.29 and 97,949.28

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Solution

The fourth proportional to 162,465.78, 224,143.29 and 97,949.28 is: 135,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,465.78 : 224,143.29 = 97,949.28 : x
  2. Step 2: Convert to fraction form
    162,465.78/224,143.29 = 97,949.28/x
  3. Step 3: Cross multiply
    162,465.78x = 224,143.29 × 97,949.28
  4. Step 4: Simplify right side
    162,465.78x = 21,954,673,872.33
  5. Step 5: Solve for x
    x = 21,954,673,872.33/162,465.78
  6. Step 6: Final answer
    x = 135,134.14

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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.