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Finding the Fourth Proportional to 152,917.02, 229,375.53 and 47,745.00

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Solution

The fourth proportional to 152,917.02, 229,375.53 and 47,745.00 is: 71,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,917.02 : 229,375.53 = 47,745.00 : x
  2. Step 2: Convert to fraction form
    152,917.02/229,375.53 = 47,745.00/x
  3. Step 3: Cross multiply
    152,917.02x = 229,375.53 × 47,745.00
  4. Step 4: Simplify right side
    152,917.02x = 10,951,533,927.37
  5. Step 5: Solve for x
    x = 10,951,533,927.37/152,917.02
  6. Step 6: Final answer
    x = 71,617.50

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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.