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Finding the Fourth Proportional to 160,838.45, 241,011.64 and 85,969.24

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Solution

The fourth proportional to 160,838.45, 241,011.64 and 85,969.24 is: 128,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,838.45 : 241,011.64 = 85,969.24 : x
  2. Step 2: Convert to fraction form
    160,838.45/241,011.64 = 85,969.24/x
  3. Step 3: Cross multiply
    160,838.45x = 241,011.64 × 85,969.24
  4. Step 4: Simplify right side
    160,838.45x = 20,719,585,887.05
  5. Step 5: Solve for x
    x = 20,719,585,887.05/160,838.45
  6. Step 6: Final answer
    x = 128,822.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.