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Finding the Fourth Proportional to 160,296.93, 221,113.35 and 105,849.58

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Solution

The fourth proportional to 160,296.93, 221,113.35 and 105,849.58 is: 146,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,296.93 : 221,113.35 = 105,849.58 : x
  2. Step 2: Convert to fraction form
    160,296.93/221,113.35 = 105,849.58/x
  3. Step 3: Cross multiply
    160,296.93x = 221,113.35 × 105,849.58
  4. Step 4: Simplify right side
    160,296.93x = 23,404,755,229.89
  5. Step 5: Solve for x
    x = 23,404,755,229.89/160,296.93
  6. Step 6: Final answer
    x = 146,008.76

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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.