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Finding the Fourth Proportional to 157,966.92, 217,994.34 and 86,347.23

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Solution

The fourth proportional to 157,966.92, 217,994.34 and 86,347.23 is: 119,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,966.92 : 217,994.34 = 86,347.23 : x
  2. Step 2: Convert to fraction form
    157,966.92/217,994.34 = 86,347.23/x
  3. Step 3: Cross multiply
    157,966.92x = 217,994.34 × 86,347.23
  4. Step 4: Simplify right side
    157,966.92x = 18,823,207,414.68
  5. Step 5: Solve for x
    x = 18,823,207,414.68/157,966.92
  6. Step 6: Final answer
    x = 119,159.17

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1.5x scale

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.