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Finding the Fourth Proportional to 177,768.44, 245,323.98 and 97,200.98

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Solution

The fourth proportional to 177,768.44, 245,323.98 and 97,200.98 is: 134,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,768.44 : 245,323.98 = 97,200.98 : x
  2. Step 2: Convert to fraction form
    177,768.44/245,323.98 = 97,200.98/x
  3. Step 3: Cross multiply
    177,768.44x = 245,323.98 × 97,200.98
  4. Step 4: Simplify right side
    177,768.44x = 23,845,731,273.50
  5. Step 5: Solve for x
    x = 23,845,731,273.50/177,768.44
  6. Step 6: Final answer
    x = 134,139.28

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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.