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Finding the Fourth Proportional to 191,633.28, 287,231.93 and 116,588

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Solution

The fourth proportional to 191,633.28, 287,231.93 and 116,588 is: 174,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,633.28 : 287,231.93 = 116,588 : x
  2. Step 2: Convert to fraction form
    191,633.28/287,231.93 = 116,588/x
  3. Step 3: Cross multiply
    191,633.28x = 287,231.93 × 116,588
  4. Step 4: Simplify right side
    191,633.28x = 33,487,796,254.84
  5. Step 5: Solve for x
    x = 33,487,796,254.84/191,633.28
  6. Step 6: Final answer
    x = 174,749.38

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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.