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Finding the Fourth Proportional to 146,007.71, 218,917.40 and 57,270.19

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Solution

The fourth proportional to 146,007.71, 218,917.40 and 57,270.19 is: 85,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,007.71 : 218,917.40 = 57,270.19 : x
  2. Step 2: Convert to fraction form
    146,007.71/218,917.40 = 57,270.19/x
  3. Step 3: Cross multiply
    146,007.71x = 218,917.40 × 57,270.19
  4. Step 4: Simplify right side
    146,007.71x = 12,537,439,711.37
  5. Step 5: Solve for x
    x = 12,537,439,711.37/146,007.71
  6. Step 6: Final answer
    x = 85,868.34

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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.