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Finding the Fourth Proportional to 251,564.80, 347,159.43 and 144,197.11

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Solution

The fourth proportional to 251,564.80, 347,159.43 and 144,197.11 is: 198,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,564.80 : 347,159.43 = 144,197.11 : x
  2. Step 2: Convert to fraction form
    251,564.80/347,159.43 = 144,197.11/x
  3. Step 3: Cross multiply
    251,564.80x = 347,159.43 × 144,197.11
  4. Step 4: Simplify right side
    251,564.80x = 50,059,386,239.48
  5. Step 5: Solve for x
    x = 50,059,386,239.48/251,564.80
  6. Step 6: Final answer
    x = 198,992.01

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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.