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Finding the Fourth Proportional to 191,692.52, 287,538.72 and 51,451.14

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Solution

The fourth proportional to 191,692.52, 287,538.72 and 51,451.14 is: 77,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,692.52 : 287,538.72 = 51,451.14 : x
  2. Step 2: Convert to fraction form
    191,692.52/287,538.72 = 51,451.14/x
  3. Step 3: Cross multiply
    191,692.52x = 287,538.72 × 51,451.14
  4. Step 4: Simplify right side
    191,692.52x = 14,794,194,938.14
  5. Step 5: Solve for x
    x = 14,794,194,938.14/191,692.52
  6. Step 6: Final answer
    x = 77,176.70

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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.