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Finding the Fourth Proportional to 177,197, 244,531.86 and 97,709

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Solution

The fourth proportional to 177,197, 244,531.86 and 97,709 is: 134,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,197 : 244,531.86 = 97,709 : x
  2. Step 2: Convert to fraction form
    177,197/244,531.86 = 97,709/x
  3. Step 3: Cross multiply
    177,197x = 244,531.86 × 97,709
  4. Step 4: Simplify right side
    177,197x = 23,892,963,508.74
  5. Step 5: Solve for x
    x = 23,892,963,508.74/177,197
  6. Step 6: Final answer
    x = 134,838.42

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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.