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Finding the Fourth Proportional to 191,954.20, 287,801.70 and 102,011.80

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Solution

The fourth proportional to 191,954.20, 287,801.70 and 102,011.80 is: 152,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,954.20 : 287,801.70 = 102,011.80 : x
  2. Step 2: Convert to fraction form
    191,954.20/287,801.70 = 102,011.80/x
  3. Step 3: Cross multiply
    191,954.20x = 287,801.70 × 102,011.80
  4. Step 4: Simplify right side
    191,954.20x = 29,359,169,460.06
  5. Step 5: Solve for x
    x = 29,359,169,460.06/191,954.20
  6. Step 6: Final answer
    x = 152,948.83

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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.