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Finding the Fourth Proportional to 160,221.57, 221,055.83 and 106,515.69

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Solution

The fourth proportional to 160,221.57, 221,055.83 and 106,515.69 is: 146,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,221.57 : 221,055.83 = 106,515.69 : x
  2. Step 2: Convert to fraction form
    160,221.57/221,055.83 = 106,515.69/x
  3. Step 3: Cross multiply
    160,221.57x = 221,055.83 × 106,515.69
  4. Step 4: Simplify right side
    160,221.57x = 23,545,913,728.39
  5. Step 5: Solve for x
    x = 23,545,913,728.39/160,221.57
  6. Step 6: Final answer
    x = 146,958.45

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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.