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Finding the Fourth Proportional to 160,849.16, 221,973.18 and 89,233.82

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Solution

The fourth proportional to 160,849.16, 221,973.18 and 89,233.82 is: 123,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,849.16 : 221,973.18 = 89,233.82 : x
  2. Step 2: Convert to fraction form
    160,849.16/221,973.18 = 89,233.82/x
  3. Step 3: Cross multiply
    160,849.16x = 221,973.18 × 89,233.82
  4. Step 4: Simplify right side
    160,849.16x = 19,807,514,788.95
  5. Step 5: Solve for x
    x = 19,807,514,788.95/160,849.16
  6. Step 6: Final answer
    x = 123,143.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.