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Finding the Fourth Proportional to 285,225.86, 428,259.32 and 159,112.50

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Solution

The fourth proportional to 285,225.86, 428,259.32 and 159,112.50 is: 238,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,225.86 : 428,259.32 = 159,112.50 : x
  2. Step 2: Convert to fraction form
    285,225.86/428,259.32 = 159,112.50/x
  3. Step 3: Cross multiply
    285,225.86x = 428,259.32 × 159,112.50
  4. Step 4: Simplify right side
    285,225.86x = 68,141,410,257.94
  5. Step 5: Solve for x
    x = 68,141,410,257.94/285,225.86
  6. Step 6: Final answer
    x = 238,903.34

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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.