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Finding the Fourth Proportional to 259,369.70, 357,929.48 and 144,648.47

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Solution

The fourth proportional to 259,369.70, 357,929.48 and 144,648.47 is: 199,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,369.70 : 357,929.48 = 144,648.47 : x
  2. Step 2: Convert to fraction form
    259,369.70/357,929.48 = 144,648.47/x
  3. Step 3: Cross multiply
    259,369.70x = 357,929.48 × 144,648.47
  4. Step 4: Simplify right side
    259,369.70x = 51,773,952,906.34
  5. Step 5: Solve for x
    x = 51,773,952,906.34/259,369.70
  6. Step 6: Final answer
    x = 199,614.50

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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.