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Finding the Fourth Proportional to 191,533.01, 287,099.87 and 107,169.48

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Solution

The fourth proportional to 191,533.01, 287,099.87 and 107,169.48 is: 160,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,533.01 : 287,099.87 = 107,169.48 : x
  2. Step 2: Convert to fraction form
    191,533.01/287,099.87 = 107,169.48/x
  3. Step 3: Cross multiply
    191,533.01x = 287,099.87 × 107,169.48
  4. Step 4: Simplify right side
    191,533.01x = 30,768,343,240.12
  5. Step 5: Solve for x
    x = 30,768,343,240.12/191,533.01
  6. Step 6: Final answer
    x = 160,642.51

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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.