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Finding the Fourth Proportional to 191,855.85, 287,783.55 and 51,614.46

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Solution

The fourth proportional to 191,855.85, 287,783.55 and 51,614.46 is: 77,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,855.85 : 287,783.55 = 51,614.46 : x
  2. Step 2: Convert to fraction form
    191,855.85/287,783.55 = 51,614.46/x
  3. Step 3: Cross multiply
    191,855.85x = 287,783.55 × 51,614.46
  4. Step 4: Simplify right side
    191,855.85x = 14,853,792,530.13
  5. Step 5: Solve for x
    x = 14,853,792,530.13/191,855.85
  6. Step 6: Final answer
    x = 77,421.63

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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.