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Finding the Fourth Proportional to 161,080.64, 241,588.10 and 61,205.82

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Solution

The fourth proportional to 161,080.64, 241,588.10 and 61,205.82 is: 91,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,080.64 : 241,588.10 = 61,205.82 : x
  2. Step 2: Convert to fraction form
    161,080.64/241,588.10 = 61,205.82/x
  3. Step 3: Cross multiply
    161,080.64x = 241,588.10 × 61,205.82
  4. Step 4: Simplify right side
    161,080.64x = 14,786,597,762.74
  5. Step 5: Solve for x
    x = 14,786,597,762.74/161,080.64
  6. Step 6: Final answer
    x = 91,796.24

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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.