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Finding the Fourth Proportional to 227,984.60, 314,697.48 and 156,600.92

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Solution

The fourth proportional to 227,984.60, 314,697.48 and 156,600.92 is: 216,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,984.60 : 314,697.48 = 156,600.92 : x
  2. Step 2: Convert to fraction form
    227,984.60/314,697.48 = 156,600.92/x
  3. Step 3: Cross multiply
    227,984.60x = 314,697.48 × 156,600.92
  4. Step 4: Simplify right side
    227,984.60x = 49,281,914,889.68
  5. Step 5: Solve for x
    x = 49,281,914,889.68/227,984.60
  6. Step 6: Final answer
    x = 216,163.35

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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.