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Finding the Fourth Proportional to 191,416, 287,126.43 and 66,757

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Solution

The fourth proportional to 191,416, 287,126.43 and 66,757 is: 100,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,416 : 287,126.43 = 66,757 : x
  2. Step 2: Convert to fraction form
    191,416/287,126.43 = 66,757/x
  3. Step 3: Cross multiply
    191,416x = 287,126.43 × 66,757
  4. Step 4: Simplify right side
    191,416x = 19,167,699,087.51
  5. Step 5: Solve for x
    x = 19,167,699,087.51/191,416
  6. Step 6: Final answer
    x = 100,136.35

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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.