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Finding the Fourth Proportional to 177,949, 245,570.34 and 98,461

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Solution

The fourth proportional to 177,949, 245,570.34 and 98,461 is: 135,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,949 : 245,570.34 = 98,461 : x
  2. Step 2: Convert to fraction form
    177,949/245,570.34 = 98,461/x
  3. Step 3: Cross multiply
    177,949x = 245,570.34 × 98,461
  4. Step 4: Simplify right side
    177,949x = 24,179,101,246.74
  5. Step 5: Solve for x
    x = 24,179,101,246.74/177,949
  6. Step 6: Final answer
    x = 135,876.58

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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.