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Finding the Fourth Proportional to 177,784.61, 266,636.89 and 51,396.69

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Solution

The fourth proportional to 177,784.61, 266,636.89 and 51,396.69 is: 77,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,784.61 : 266,636.89 = 51,396.69 : x
  2. Step 2: Convert to fraction form
    177,784.61/266,636.89 = 51,396.69/x
  3. Step 3: Cross multiply
    177,784.61x = 266,636.89 × 51,396.69
  4. Step 4: Simplify right side
    177,784.61x = 13,704,253,320.91
  5. Step 5: Solve for x
    x = 13,704,253,320.91/177,784.61
  6. Step 6: Final answer
    x = 77,083.46

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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.