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Finding the Fourth Proportional to 200,779.84, 301,059.78 and 92,591.77

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Solution

The fourth proportional to 200,779.84, 301,059.78 and 92,591.77 is: 138,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,779.84 : 301,059.78 = 92,591.77 : x
  2. Step 2: Convert to fraction form
    200,779.84/301,059.78 = 92,591.77/x
  3. Step 3: Cross multiply
    200,779.84x = 301,059.78 × 92,591.77
  4. Step 4: Simplify right side
    200,779.84x = 27,875,657,906.01
  5. Step 5: Solve for x
    x = 27,875,657,906.01/200,779.84
  6. Step 6: Final answer
    x = 138,836.94

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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.