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Finding the Fourth Proportional to 160,708.19, 241,006.39 and 65,911.46

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Solution

The fourth proportional to 160,708.19, 241,006.39 and 65,911.46 is: 98,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,708.19 : 241,006.39 = 65,911.46 : x
  2. Step 2: Convert to fraction form
    160,708.19/241,006.39 = 65,911.46/x
  3. Step 3: Cross multiply
    160,708.19x = 241,006.39 × 65,911.46
  4. Step 4: Simplify right side
    160,708.19x = 15,885,081,664.42
  5. Step 5: Solve for x
    x = 15,885,081,664.42/160,708.19
  6. Step 6: Final answer
    x = 98,844.26

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Why These Related Problems?

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