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Finding the Fourth Proportional to 191,065.85, 286,204.75 and 111,940.01

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Solution

The fourth proportional to 191,065.85, 286,204.75 and 111,940.01 is: 167,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,065.85 : 286,204.75 = 111,940.01 : x
  2. Step 2: Convert to fraction form
    191,065.85/286,204.75 = 111,940.01/x
  3. Step 3: Cross multiply
    191,065.85x = 286,204.75 × 111,940.01
  4. Step 4: Simplify right side
    191,065.85x = 32,037,762,577.05
  5. Step 5: Solve for x
    x = 32,037,762,577.05/191,065.85
  6. Step 6: Final answer
    x = 167,679.17

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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.