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Finding the Fourth Proportional to 241,342.80, 361,841.40 and 101,029.20

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Solution

The fourth proportional to 241,342.80, 361,841.40 and 101,029.20 is: 151,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,342.80 : 361,841.40 = 101,029.20 : x
  2. Step 2: Convert to fraction form
    241,342.80/361,841.40 = 101,029.20/x
  3. Step 3: Cross multiply
    241,342.80x = 361,841.40 × 101,029.20
  4. Step 4: Simplify right side
    241,342.80x = 36,556,547,168.88
  5. Step 5: Solve for x
    x = 36,556,547,168.88/241,342.80
  6. Step 6: Final answer
    x = 151,471.46

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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.