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Finding the Fourth Proportional to 267,457.14, 401,120.10 and 109,730.70

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Solution

The fourth proportional to 267,457.14, 401,120.10 and 109,730.70 is: 164,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,457.14 : 401,120.10 = 109,730.70 : x
  2. Step 2: Convert to fraction form
    267,457.14/401,120.10 = 109,730.70/x
  3. Step 3: Cross multiply
    267,457.14x = 401,120.10 × 109,730.70
  4. Step 4: Simplify right side
    267,457.14x = 44,015,189,357.07
  5. Step 5: Solve for x
    x = 44,015,189,357.07/267,457.14
  6. Step 6: Final answer
    x = 164,569.13

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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.