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Finding the Fourth Proportional to 191,940.56, 287,952.96 and 58,830.84

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Solution

The fourth proportional to 191,940.56, 287,952.96 and 58,830.84 is: 88,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,940.56 : 287,952.96 = 58,830.84 : x
  2. Step 2: Convert to fraction form
    191,940.56/287,952.96 = 58,830.84/x
  3. Step 3: Cross multiply
    191,940.56x = 287,952.96 × 58,830.84
  4. Step 4: Simplify right side
    191,940.56x = 16,940,514,517.29
  5. Step 5: Solve for x
    x = 16,940,514,517.29/191,940.56
  6. Step 6: Final answer
    x = 88,259.17

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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.