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Finding the Fourth Proportional to 177,762.27, 245,311.93 and 97,189.80

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Solution

The fourth proportional to 177,762.27, 245,311.93 and 97,189.80 is: 134,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,762.27 : 245,311.93 = 97,189.80 : x
  2. Step 2: Convert to fraction form
    177,762.27/245,311.93 = 97,189.80/x
  3. Step 3: Cross multiply
    177,762.27x = 245,311.93 × 97,189.80
  4. Step 4: Simplify right side
    177,762.27x = 23,841,817,414.31
  5. Step 5: Solve for x
    x = 23,841,817,414.31/177,762.27
  6. Step 6: Final answer
    x = 134,121.92

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