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Finding the Fourth Proportional to 334,098.70, 501,208.80 and 109,396.60

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Solution

The fourth proportional to 334,098.70, 501,208.80 and 109,396.60 is: 164,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,098.70 : 501,208.80 = 109,396.60 : x
  2. Step 2: Convert to fraction form
    334,098.70/501,208.80 = 109,396.60/x
  3. Step 3: Cross multiply
    334,098.70x = 501,208.80 × 109,396.60
  4. Step 4: Simplify right side
    334,098.70x = 54,830,538,610.08
  5. Step 5: Solve for x
    x = 54,830,538,610.08/334,098.70
  6. Step 6: Final answer
    x = 164,114.79

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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.