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Finding the Fourth Proportional to 241,147.80, 361,767.06 and 97,064.64

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Solution

The fourth proportional to 241,147.80, 361,767.06 and 97,064.64 is: 145,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,147.80 : 361,767.06 = 97,064.64 : x
  2. Step 2: Convert to fraction form
    241,147.80/361,767.06 = 97,064.64/x
  3. Step 3: Cross multiply
    241,147.80x = 361,767.06 × 97,064.64
  4. Step 4: Simplify right side
    241,147.80x = 35,114,789,442.76
  5. Step 5: Solve for x
    x = 35,114,789,442.76/241,147.80
  6. Step 6: Final answer
    x = 145,615.22

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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.