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Finding the Fourth Proportional to 147,216.78, 220,828.80 and 53,722.50

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Solution

The fourth proportional to 147,216.78, 220,828.80 and 53,722.50 is: 80,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,216.78 : 220,828.80 = 53,722.50 : x
  2. Step 2: Convert to fraction form
    147,216.78/220,828.80 = 53,722.50/x
  3. Step 3: Cross multiply
    147,216.78x = 220,828.80 × 53,722.50
  4. Step 4: Simplify right side
    147,216.78x = 11,863,475,208
  5. Step 5: Solve for x
    x = 11,863,475,208/147,216.78
  6. Step 6: Final answer
    x = 80,585.07

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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.