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Finding the Fourth Proportional to 191,064.85, 286,203.25 and 111,939.01

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Solution

The fourth proportional to 191,064.85, 286,203.25 and 111,939.01 is: 167,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,064.85 : 286,203.25 = 111,939.01 : x
  2. Step 2: Convert to fraction form
    191,064.85/286,203.25 = 111,939.01/x
  3. Step 3: Cross multiply
    191,064.85x = 286,203.25 × 111,939.01
  4. Step 4: Simplify right side
    191,064.85x = 32,037,306,752.92
  5. Step 5: Solve for x
    x = 32,037,306,752.92/191,064.85
  6. Step 6: Final answer
    x = 167,677.66

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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.