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Finding the Fourth Proportional to 191,829, 287,860.14 and 81,021

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Solution

The fourth proportional to 191,829, 287,860.14 and 81,021 is: 121,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,829 : 287,860.14 = 81,021 : x
  2. Step 2: Convert to fraction form
    191,829/287,860.14 = 81,021/x
  3. Step 3: Cross multiply
    191,829x = 287,860.14 × 81,021
  4. Step 4: Simplify right side
    191,829x = 23,322,716,402.94
  5. Step 5: Solve for x
    x = 23,322,716,402.94/191,829
  6. Step 6: Final answer
    x = 121,580.76

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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.