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Finding the Fourth Proportional to 216,189, 298,316.52 and 125,533.80

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Solution

The fourth proportional to 216,189, 298,316.52 and 125,533.80 is: 173,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,189 : 298,316.52 = 125,533.80 : x
  2. Step 2: Convert to fraction form
    216,189/298,316.52 = 125,533.80/x
  3. Step 3: Cross multiply
    216,189x = 298,316.52 × 125,533.80
  4. Step 4: Simplify right side
    216,189x = 37,448,806,358.38
  5. Step 5: Solve for x
    x = 37,448,806,358.38/216,189
  6. Step 6: Final answer
    x = 173,222.53

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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.