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Finding the Fourth Proportional to 228,177.91, 314,951.24 and 160,211.42

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Solution

The fourth proportional to 228,177.91, 314,951.24 and 160,211.42 is: 221,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,177.91 : 314,951.24 = 160,211.42 : x
  2. Step 2: Convert to fraction form
    228,177.91/314,951.24 = 160,211.42/x
  3. Step 3: Cross multiply
    228,177.91x = 314,951.24 × 160,211.42
  4. Step 4: Simplify right side
    228,177.91x = 50,458,784,496.81
  5. Step 5: Solve for x
    x = 50,458,784,496.81/228,177.91
  6. Step 6: Final answer
    x = 221,137.90

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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.