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Finding the Fourth Proportional to 102,224.70, 153,368.43 and 52,339.83

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Solution

The fourth proportional to 102,224.70, 153,368.43 and 52,339.83 is: 78,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224.70 : 153,368.43 = 52,339.83 : x
  2. Step 2: Convert to fraction form
    102,224.70/153,368.43 = 52,339.83/x
  3. Step 3: Cross multiply
    102,224.70x = 153,368.43 × 52,339.83
  4. Step 4: Simplify right side
    102,224.70x = 8,027,276,932.79
  5. Step 5: Solve for x
    x = 8,027,276,932.79/102,224.70
  6. Step 6: Final answer
    x = 78,525.80

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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.