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Finding the Fourth Proportional to 191,924.98, 287,921.49 and 92,265.82

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Solution

The fourth proportional to 191,924.98, 287,921.49 and 92,265.82 is: 138,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,924.98 : 287,921.49 = 92,265.82 : x
  2. Step 2: Convert to fraction form
    191,924.98/287,921.49 = 92,265.82/x
  3. Step 3: Cross multiply
    191,924.98x = 287,921.49 × 92,265.82
  4. Step 4: Simplify right side
    191,924.98x = 26,565,312,370.47
  5. Step 5: Solve for x
    x = 26,565,312,370.47/191,924.98
  6. Step 6: Final answer
    x = 138,415.08

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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.