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Finding the Fourth Proportional to 177,693.84, 266,501.39 and 51,306.59

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Solution

The fourth proportional to 177,693.84, 266,501.39 and 51,306.59 is: 76,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,693.84 : 266,501.39 = 51,306.59 : x
  2. Step 2: Convert to fraction form
    177,693.84/266,501.39 = 51,306.59/x
  3. Step 3: Cross multiply
    177,693.84x = 266,501.39 × 51,306.59
  4. Step 4: Simplify right side
    177,693.84x = 13,673,275,962.12
  5. Step 5: Solve for x
    x = 13,673,275,962.12/177,693.84
  6. Step 6: Final answer
    x = 76,948.51

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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.