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Finding the Fourth Proportional to 267,403.96, 401,097.72 and 109,513.50

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Solution

The fourth proportional to 267,403.96, 401,097.72 and 109,513.50 is: 164,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,403.96 : 401,097.72 = 109,513.50 : x
  2. Step 2: Convert to fraction form
    267,403.96/401,097.72 = 109,513.50/x
  3. Step 3: Cross multiply
    267,403.96x = 401,097.72 × 109,513.50
  4. Step 4: Simplify right side
    267,403.96x = 43,925,615,159.22
  5. Step 5: Solve for x
    x = 43,925,615,159.22/267,403.96
  6. Step 6: Final answer
    x = 164,266.88

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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.