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Finding the Fourth Proportional to 143,546.47, 216,668.02 and 143,546.47

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Solution

The fourth proportional to 143,546.47, 216,668.02 and 143,546.47 is: 216,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,546.47 : 216,668.02 = 143,546.47 : x
  2. Step 2: Convert to fraction form
    143,546.47/216,668.02 = 143,546.47/x
  3. Step 3: Cross multiply
    143,546.47x = 216,668.02 × 143,546.47
  4. Step 4: Simplify right side
    143,546.47x = 31,101,929,432.89
  5. Step 5: Solve for x
    x = 31,101,929,432.89/143,546.47
  6. Step 6: Final answer
    x = 216,668.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.