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Finding the Fourth Proportional to 267,698.40, 401,242.32 and 127,258.08

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Solution

The fourth proportional to 267,698.40, 401,242.32 and 127,258.08 is: 190,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,698.40 : 401,242.32 = 127,258.08 : x
  2. Step 2: Convert to fraction form
    267,698.40/401,242.32 = 127,258.08/x
  3. Step 3: Cross multiply
    267,698.40x = 401,242.32 × 127,258.08
  4. Step 4: Simplify right side
    267,698.40x = 51,061,327,257.95
  5. Step 5: Solve for x
    x = 51,061,327,257.95/267,698.40
  6. Step 6: Final answer
    x = 190,742.00

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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.