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Finding the Fourth Proportional to 161,856.20, 242,784.30 and 160,819.40

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Solution

The fourth proportional to 161,856.20, 242,784.30 and 160,819.40 is: 241,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,856.20 : 242,784.30 = 160,819.40 : x
  2. Step 2: Convert to fraction form
    161,856.20/242,784.30 = 160,819.40/x
  3. Step 3: Cross multiply
    161,856.20x = 242,784.30 × 160,819.40
  4. Step 4: Simplify right side
    161,856.20x = 39,044,425,455.42
  5. Step 5: Solve for x
    x = 39,044,425,455.42/161,856.20
  6. Step 6: Final answer
    x = 241,229.10

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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.