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Finding the Fourth Proportional to 334,097.70, 501,207.30 and 109,395.60

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Solution

The fourth proportional to 334,097.70, 501,207.30 and 109,395.60 is: 164,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,097.70 : 501,207.30 = 109,395.60 : x
  2. Step 2: Convert to fraction form
    334,097.70/501,207.30 = 109,395.60/x
  3. Step 3: Cross multiply
    334,097.70x = 501,207.30 × 109,395.60
  4. Step 4: Simplify right side
    334,097.70x = 54,829,873,307.88
  5. Step 5: Solve for x
    x = 54,829,873,307.88/334,097.70
  6. Step 6: Final answer
    x = 164,113.29

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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.