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Finding the Fourth Proportional to 205,752.88, 308,349.08 and 115,838.52

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Solution

The fourth proportional to 205,752.88, 308,349.08 and 115,838.52 is: 173,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,752.88 : 308,349.08 = 115,838.52 : x
  2. Step 2: Convert to fraction form
    205,752.88/308,349.08 = 115,838.52/x
  3. Step 3: Cross multiply
    205,752.88x = 308,349.08 × 115,838.52
  4. Step 4: Simplify right side
    205,752.88x = 35,718,701,070.56
  5. Step 5: Solve for x
    x = 35,718,701,070.56/205,752.88
  6. Step 6: Final answer
    x = 173,600.01

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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.