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Finding the Fourth Proportional to 161,956.10, 242,824.80 and 83,005.40

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Solution

The fourth proportional to 161,956.10, 242,824.80 and 83,005.40 is: 124,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,956.10 : 242,824.80 = 83,005.40 : x
  2. Step 2: Convert to fraction form
    161,956.10/242,824.80 = 83,005.40/x
  3. Step 3: Cross multiply
    161,956.10x = 242,824.80 × 83,005.40
  4. Step 4: Simplify right side
    161,956.10x = 20,155,769,653.92
  5. Step 5: Solve for x
    x = 20,155,769,653.92/161,956.10
  6. Step 6: Final answer
    x = 124,452.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.