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Finding the Fourth Proportional to 165,054, 227,777.28 and 89,602.50

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Solution

The fourth proportional to 165,054, 227,777.28 and 89,602.50 is: 123,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,054 : 227,777.28 = 89,602.50 : x
  2. Step 2: Convert to fraction form
    165,054/227,777.28 = 89,602.50/x
  3. Step 3: Cross multiply
    165,054x = 227,777.28 × 89,602.50
  4. Step 4: Simplify right side
    165,054x = 20,409,413,731.20
  5. Step 5: Solve for x
    x = 20,409,413,731.20/165,054
  6. Step 6: Final answer
    x = 123,652.95

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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.