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Finding the Fourth Proportional to 191,146.70, 286,647.15 and 57,982.70

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Solution

The fourth proportional to 191,146.70, 286,647.15 and 57,982.70 is: 86,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,146.70 : 286,647.15 = 57,982.70 : x
  2. Step 2: Convert to fraction form
    191,146.70/286,647.15 = 57,982.70/x
  3. Step 3: Cross multiply
    191,146.70x = 286,647.15 × 57,982.70
  4. Step 4: Simplify right side
    191,146.70x = 16,620,575,704.31
  5. Step 5: Solve for x
    x = 16,620,575,704.31/191,146.70
  6. Step 6: Final answer
    x = 86,951.94

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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.