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Finding the Fourth Proportional to 177,374.24, 244,578 and 145,007.84

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Solution

The fourth proportional to 177,374.24, 244,578 and 145,007.84 is: 199,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,374.24 : 244,578 = 145,007.84 : x
  2. Step 2: Convert to fraction form
    177,374.24/244,578 = 145,007.84/x
  3. Step 3: Cross multiply
    177,374.24x = 244,578 × 145,007.84
  4. Step 4: Simplify right side
    177,374.24x = 35,465,727,491.52
  5. Step 5: Solve for x
    x = 35,465,727,491.52/177,374.24
  6. Step 6: Final answer
    x = 199,948.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.