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Finding the Fourth Proportional to 160,753.14, 221,849.14 and 89,133.15

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Solution

The fourth proportional to 160,753.14, 221,849.14 and 89,133.15 is: 123,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,753.14 : 221,849.14 = 89,133.15 : x
  2. Step 2: Convert to fraction form
    160,753.14/221,849.14 = 89,133.15/x
  3. Step 3: Cross multiply
    160,753.14x = 221,849.14 × 89,133.15
  4. Step 4: Simplify right side
    160,753.14x = 19,774,112,672.99
  5. Step 5: Solve for x
    x = 19,774,112,672.99/160,753.14
  6. Step 6: Final answer
    x = 123,009.18

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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.