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Finding the Fourth Proportional to 334,116.72, 461,080.80 and 181,159.98

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Solution

The fourth proportional to 334,116.72, 461,080.80 and 181,159.98 is: 250,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,116.72 : 461,080.80 = 181,159.98 : x
  2. Step 2: Convert to fraction form
    334,116.72/461,080.80 = 181,159.98/x
  3. Step 3: Cross multiply
    334,116.72x = 461,080.80 × 181,159.98
  4. Step 4: Simplify right side
    334,116.72x = 83,529,388,506.38
  5. Step 5: Solve for x
    x = 83,529,388,506.38/334,116.72
  6. Step 6: Final answer
    x = 250,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.