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Finding the Fourth Proportional to 216,132, 298,296.72 and 126,708

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Solution

The fourth proportional to 216,132, 298,296.72 and 126,708 is: 174,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,132 : 298,296.72 = 126,708 : x
  2. Step 2: Convert to fraction form
    216,132/298,296.72 = 126,708/x
  3. Step 3: Cross multiply
    216,132x = 298,296.72 × 126,708
  4. Step 4: Simplify right side
    216,132x = 37,796,580,797.76
  5. Step 5: Solve for x
    x = 37,796,580,797.76/216,132
  6. Step 6: Final answer
    x = 174,877.30

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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.