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Finding the Fourth Proportional to 191,838.90, 287,757.90 and 51,597.66

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Solution

The fourth proportional to 191,838.90, 287,757.90 and 51,597.66 is: 77,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,838.90 : 287,757.90 = 51,597.66 : x
  2. Step 2: Convert to fraction form
    191,838.90/287,757.90 = 51,597.66/x
  3. Step 3: Cross multiply
    191,838.90x = 287,757.90 × 51,597.66
  4. Step 4: Simplify right side
    191,838.90x = 14,847,634,286.51
  5. Step 5: Solve for x
    x = 14,847,634,286.51/191,838.90
  6. Step 6: Final answer
    x = 77,396.37

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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.