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Finding the Fourth Proportional to 177,838.72, 245,417.78 and 97,266

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Solution

The fourth proportional to 177,838.72, 245,417.78 and 97,266 is: 134,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,838.72 : 245,417.78 = 97,266 : x
  2. Step 2: Convert to fraction form
    177,838.72/245,417.78 = 97,266/x
  3. Step 3: Cross multiply
    177,838.72x = 245,417.78 × 97,266
  4. Step 4: Simplify right side
    177,838.72x = 23,870,805,789.48
  5. Step 5: Solve for x
    x = 23,870,805,789.48/177,838.72
  6. Step 6: Final answer
    x = 134,227.27

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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.