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Finding the Fourth Proportional to 191,881.30, 287,823.77 and 73,524.50

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Solution

The fourth proportional to 191,881.30, 287,823.77 and 73,524.50 is: 110,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,881.30 : 287,823.77 = 73,524.50 : x
  2. Step 2: Convert to fraction form
    191,881.30/287,823.77 = 73,524.50/x
  3. Step 3: Cross multiply
    191,881.30x = 287,823.77 × 73,524.50
  4. Step 4: Simplify right side
    191,881.30x = 21,162,098,777.37
  5. Step 5: Solve for x
    x = 21,162,098,777.37/191,881.30
  6. Step 6: Final answer
    x = 110,287.45

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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.