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Finding the Fourth Proportional to 191,842.87, 287,676.82 and 92,050.06

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Solution

The fourth proportional to 191,842.87, 287,676.82 and 92,050.06 is: 138,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,842.87 : 287,676.82 = 92,050.06 : x
  2. Step 2: Convert to fraction form
    191,842.87/287,676.82 = 92,050.06/x
  3. Step 3: Cross multiply
    191,842.87x = 287,676.82 × 92,050.06
  4. Step 4: Simplify right side
    191,842.87x = 26,480,668,541.61
  5. Step 5: Solve for x
    x = 26,480,668,541.61/191,842.87
  6. Step 6: Final answer
    x = 138,033.11

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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.