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Finding the Fourth Proportional to 161,908.40, 242,819.40 and 56,716.40

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Solution

The fourth proportional to 161,908.40, 242,819.40 and 56,716.40 is: 85,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,908.40 : 242,819.40 = 56,716.40 : x
  2. Step 2: Convert to fraction form
    161,908.40/242,819.40 = 56,716.40/x
  3. Step 3: Cross multiply
    161,908.40x = 242,819.40 × 56,716.40
  4. Step 4: Simplify right side
    161,908.40x = 13,771,842,218.16
  5. Step 5: Solve for x
    x = 13,771,842,218.16/161,908.40
  6. Step 6: Final answer
    x = 85,059.47

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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.