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Finding the Fourth Proportional to 213,956.28, 295,264.28 and 117,164.22

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Solution

The fourth proportional to 213,956.28, 295,264.28 and 117,164.22 is: 161,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,956.28 : 295,264.28 = 117,164.22 : x
  2. Step 2: Convert to fraction form
    213,956.28/295,264.28 = 117,164.22/x
  3. Step 3: Cross multiply
    213,956.28x = 295,264.28 × 117,164.22
  4. Step 4: Simplify right side
    213,956.28x = 34,594,409,060.06
  5. Step 5: Solve for x
    x = 34,594,409,060.06/213,956.28
  6. Step 6: Final answer
    x = 161,689.15

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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.