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Finding the Fourth Proportional to 116,228.95, 159,892.62 and 101,823.91

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Solution

The fourth proportional to 116,228.95, 159,892.62 and 101,823.91 is: 140,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,228.95 : 159,892.62 = 101,823.91 : x
  2. Step 2: Convert to fraction form
    116,228.95/159,892.62 = 101,823.91/x
  3. Step 3: Cross multiply
    116,228.95x = 159,892.62 × 101,823.91
  4. Step 4: Simplify right side
    116,228.95x = 16,280,891,748.54
  5. Step 5: Solve for x
    x = 16,280,891,748.54/116,228.95
  6. Step 6: Final answer
    x = 140,076.05

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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.