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Finding the Fourth Proportional to 172,865.95, 259,296.34 and 105,417.80

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Solution

The fourth proportional to 172,865.95, 259,296.34 and 105,417.80 is: 158,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,865.95 : 259,296.34 = 105,417.80 : x
  2. Step 2: Convert to fraction form
    172,865.95/259,296.34 = 105,417.80/x
  3. Step 3: Cross multiply
    172,865.95x = 259,296.34 × 105,417.80
  4. Step 4: Simplify right side
    172,865.95x = 27,334,449,710.85
  5. Step 5: Solve for x
    x = 27,334,449,710.85/172,865.95
  6. Step 6: Final answer
    x = 158,125.12

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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.