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Finding the Fourth Proportional to 191,434.66, 287,151.95 and 51,189.64

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Solution

The fourth proportional to 191,434.66, 287,151.95 and 51,189.64 is: 76,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,434.66 : 287,151.95 = 51,189.64 : x
  2. Step 2: Convert to fraction form
    191,434.66/287,151.95 = 51,189.64/x
  3. Step 3: Cross multiply
    191,434.66x = 287,151.95 × 51,189.64
  4. Step 4: Simplify right side
    191,434.66x = 14,699,204,355.89
  5. Step 5: Solve for x
    x = 14,699,204,355.89/191,434.66
  6. Step 6: Final answer
    x = 76,784.45

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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.