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Finding the Fourth Proportional to 191,689.68, 264,532.84 and 111,165

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Solution

The fourth proportional to 191,689.68, 264,532.84 and 111,165 is: 153,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,689.68 : 264,532.84 = 111,165 : x
  2. Step 2: Convert to fraction form
    191,689.68/264,532.84 = 111,165/x
  3. Step 3: Cross multiply
    191,689.68x = 264,532.84 × 111,165
  4. Step 4: Simplify right side
    191,689.68x = 29,406,793,158.60
  5. Step 5: Solve for x
    x = 29,406,793,158.60/191,689.68
  6. Step 6: Final answer
    x = 153,408.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.