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Finding the Fourth Proportional to 98,512.86, 147,783.90 and 36,178.50

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Solution

The fourth proportional to 98,512.86, 147,783.90 and 36,178.50 is: 54,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512.86 : 147,783.90 = 36,178.50 : x
  2. Step 2: Convert to fraction form
    98,512.86/147,783.90 = 36,178.50/x
  3. Step 3: Cross multiply
    98,512.86x = 147,783.90 × 36,178.50
  4. Step 4: Simplify right side
    98,512.86x = 5,346,599,826.15
  5. Step 5: Solve for x
    x = 5,346,599,826.15/98,512.86
  6. Step 6: Final answer
    x = 54,273.12

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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.