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Finding the Fourth Proportional to 216,126.54, 297,897.72 and 144,480.42

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Solution

The fourth proportional to 216,126.54, 297,897.72 and 144,480.42 is: 199,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,126.54 : 297,897.72 = 144,480.42 : x
  2. Step 2: Convert to fraction form
    216,126.54/297,897.72 = 144,480.42/x
  3. Step 3: Cross multiply
    216,126.54x = 297,897.72 × 144,480.42
  4. Step 4: Simplify right side
    216,126.54x = 43,040,387,702.64
  5. Step 5: Solve for x
    x = 43,040,387,702.64/216,126.54
  6. Step 6: Final answer
    x = 199,144.39

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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.