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Finding the Fourth Proportional to 339,213.84, 508,838.58 and 102,550.50

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Solution

The fourth proportional to 339,213.84, 508,838.58 and 102,550.50 is: 153,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,213.84 : 508,838.58 = 102,550.50 : x
  2. Step 2: Convert to fraction form
    339,213.84/508,838.58 = 102,550.50/x
  3. Step 3: Cross multiply
    339,213.84x = 508,838.58 × 102,550.50
  4. Step 4: Simplify right side
    339,213.84x = 52,181,650,798.29
  5. Step 5: Solve for x
    x = 52,181,650,798.29/339,213.84
  6. Step 6: Final answer
    x = 153,831.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.