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Finding the Fourth Proportional to 172,758.84, 259,138.26 and 98,835

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Solution

The fourth proportional to 172,758.84, 259,138.26 and 98,835 is: 148,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,758.84 : 259,138.26 = 98,835 : x
  2. Step 2: Convert to fraction form
    172,758.84/259,138.26 = 98,835/x
  3. Step 3: Cross multiply
    172,758.84x = 259,138.26 × 98,835
  4. Step 4: Simplify right side
    172,758.84x = 25,611,929,927.10
  5. Step 5: Solve for x
    x = 25,611,929,927.10/172,758.84
  6. Step 6: Final answer
    x = 148,252.50

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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.