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Finding the Fourth Proportional to 177,722.92, 245,018.82 and 172,219.24

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Solution

The fourth proportional to 177,722.92, 245,018.82 and 172,219.24 is: 237,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,722.92 : 245,018.82 = 172,219.24 : x
  2. Step 2: Convert to fraction form
    177,722.92/245,018.82 = 172,219.24/x
  3. Step 3: Cross multiply
    177,722.92x = 245,018.82 × 172,219.24
  4. Step 4: Simplify right side
    177,722.92x = 42,196,954,966.10
  5. Step 5: Solve for x
    x = 42,196,954,966.10/177,722.92
  6. Step 6: Final answer
    x = 237,431.14

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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.