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Finding the Fourth Proportional to 267,695.40, 401,543.10 and 109,842.60

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Solution

The fourth proportional to 267,695.40, 401,543.10 and 109,842.60 is: 164,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,695.40 : 401,543.10 = 109,842.60 : x
  2. Step 2: Convert to fraction form
    267,695.40/401,543.10 = 109,842.60/x
  3. Step 3: Cross multiply
    267,695.40x = 401,543.10 × 109,842.60
  4. Step 4: Simplify right side
    267,695.40x = 44,106,538,116.06
  5. Step 5: Solve for x
    x = 44,106,538,116.06/267,695.40
  6. Step 6: Final answer
    x = 164,763.90

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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.