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Finding the Fourth Proportional to 228,071.59, 342,163.17 and 160,735

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Solution

The fourth proportional to 228,071.59, 342,163.17 and 160,735 is: 241,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,071.59 : 342,163.17 = 160,735 : x
  2. Step 2: Convert to fraction form
    228,071.59/342,163.17 = 160,735/x
  3. Step 3: Cross multiply
    228,071.59x = 342,163.17 × 160,735
  4. Step 4: Simplify right side
    228,071.59x = 54,997,597,129.95
  5. Step 5: Solve for x
    x = 54,997,597,129.95/228,071.59
  6. Step 6: Final answer
    x = 241,141.82

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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.