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Finding the Fourth Proportional to 191,951.96, 287,927.88 and 103,083.22

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Solution

The fourth proportional to 191,951.96, 287,927.88 and 103,083.22 is: 154,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,951.96 : 287,927.88 = 103,083.22 : x
  2. Step 2: Convert to fraction form
    191,951.96/287,927.88 = 103,083.22/x
  3. Step 3: Cross multiply
    191,951.96x = 287,927.88 × 103,083.22
  4. Step 4: Simplify right side
    191,951.96x = 29,680,532,998.17
  5. Step 5: Solve for x
    x = 29,680,532,998.17/191,951.96
  6. Step 6: Final answer
    x = 154,624.80

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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.