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Finding the Fourth Proportional to 228,564.46, 315,471.42 and 152,086.72

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Solution

The fourth proportional to 228,564.46, 315,471.42 and 152,086.72 is: 209,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,564.46 : 315,471.42 = 152,086.72 : x
  2. Step 2: Convert to fraction form
    228,564.46/315,471.42 = 152,086.72/x
  3. Step 3: Cross multiply
    228,564.46x = 315,471.42 × 152,086.72
  4. Step 4: Simplify right side
    228,564.46x = 47,979,013,521.54
  5. Step 5: Solve for x
    x = 47,979,013,521.54/228,564.46
  6. Step 6: Final answer
    x = 209,914.58

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