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Finding the Fourth Proportional to 117,816.88, 162,565.28 and 70,082

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Solution

The fourth proportional to 117,816.88, 162,565.28 and 70,082 is: 96,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,816.88 : 162,565.28 = 70,082 : x
  2. Step 2: Convert to fraction form
    117,816.88/162,565.28 = 70,082/x
  3. Step 3: Cross multiply
    117,816.88x = 162,565.28 × 70,082
  4. Step 4: Simplify right side
    117,816.88x = 11,392,899,952.96
  5. Step 5: Solve for x
    x = 11,392,899,952.96/117,816.88
  6. Step 6: Final answer
    x = 96,700.06

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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.