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Finding the Fourth Proportional to 160,731.63, 241,080.50 and 65,971.80

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Solution

The fourth proportional to 160,731.63, 241,080.50 and 65,971.80 is: 98,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,731.63 : 241,080.50 = 65,971.80 : x
  2. Step 2: Convert to fraction form
    160,731.63/241,080.50 = 65,971.80/x
  3. Step 3: Cross multiply
    160,731.63x = 241,080.50 × 65,971.80
  4. Step 4: Simplify right side
    160,731.63x = 15,904,514,694.83
  5. Step 5: Solve for x
    x = 15,904,514,694.83/160,731.63
  6. Step 6: Final answer
    x = 98,950.75

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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.