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Finding the Fourth Proportional to 268,258.56, 370,204.80 and 149,024

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Solution

The fourth proportional to 268,258.56, 370,204.80 and 149,024 is: 205,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,258.56 : 370,204.80 = 149,024 : x
  2. Step 2: Convert to fraction form
    268,258.56/370,204.80 = 149,024/x
  3. Step 3: Cross multiply
    268,258.56x = 370,204.80 × 149,024
  4. Step 4: Simplify right side
    268,258.56x = 55,169,400,115.20
  5. Step 5: Solve for x
    x = 55,169,400,115.20/268,258.56
  6. Step 6: Final answer
    x = 205,657.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.