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Finding the Fourth Proportional to 191,771.48, 287,698.74 and 73,442.81

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Solution

The fourth proportional to 191,771.48, 287,698.74 and 73,442.81 is: 110,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,771.48 : 287,698.74 = 73,442.81 : x
  2. Step 2: Convert to fraction form
    191,771.48/287,698.74 = 73,442.81/x
  3. Step 3: Cross multiply
    191,771.48x = 287,698.74 × 73,442.81
  4. Step 4: Simplify right side
    191,771.48x = 21,129,403,899.06
  5. Step 5: Solve for x
    x = 21,129,403,899.06/191,771.48
  6. Step 6: Final answer
    x = 110,180.12

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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.