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Finding the Fourth Proportional to 227,874.47, 314,478.75 and 137,258.85

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Solution

The fourth proportional to 227,874.47, 314,478.75 and 137,258.85 is: 189,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,874.47 : 314,478.75 = 137,258.85 : x
  2. Step 2: Convert to fraction form
    227,874.47/314,478.75 = 137,258.85/x
  3. Step 3: Cross multiply
    227,874.47x = 314,478.75 × 137,258.85
  4. Step 4: Simplify right side
    227,874.47x = 43,164,993,268.45
  5. Step 5: Solve for x
    x = 43,164,993,268.45/227,874.47
  6. Step 6: Final answer
    x = 189,424.44

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1.5x scale

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.