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Finding the Fourth Proportional to 164,543.61, 227,070.77 and 89,092.11

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Solution

The fourth proportional to 164,543.61, 227,070.77 and 89,092.11 is: 122,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,543.61 : 227,070.77 = 89,092.11 : x
  2. Step 2: Convert to fraction form
    164,543.61/227,070.77 = 89,092.11/x
  3. Step 3: Cross multiply
    164,543.61x = 227,070.77 × 89,092.11
  4. Step 4: Simplify right side
    164,543.61x = 20,230,213,573.16
  5. Step 5: Solve for x
    x = 20,230,213,573.16/164,543.61
  6. Step 6: Final answer
    x = 122,947.43

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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.