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Finding the Fourth Proportional to 191,161.12, 286,800 and 97,732.48

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Solution

The fourth proportional to 191,161.12, 286,800 and 97,732.48 is: 146,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,161.12 : 286,800 = 97,732.48 : x
  2. Step 2: Convert to fraction form
    191,161.12/286,800 = 97,732.48/x
  3. Step 3: Cross multiply
    191,161.12x = 286,800 × 97,732.48
  4. Step 4: Simplify right side
    191,161.12x = 28,029,675,264
  5. Step 5: Solve for x
    x = 28,029,675,264/191,161.12
  6. Step 6: Final answer
    x = 146,628.54

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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.