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Finding the Fourth Proportional to 232,653.51, 349,153.97 and 172,820.15

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Solution

The fourth proportional to 232,653.51, 349,153.97 and 172,820.15 is: 259,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,653.51 : 349,153.97 = 172,820.15 : x
  2. Step 2: Convert to fraction form
    232,653.51/349,153.97 = 172,820.15/x
  3. Step 3: Cross multiply
    232,653.51x = 349,153.97 × 172,820.15
  4. Step 4: Simplify right side
    232,653.51x = 60,340,838,858.62
  5. Step 5: Solve for x
    x = 60,340,838,858.62/232,653.51
  6. Step 6: Final answer
    x = 259,359.25

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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.