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Finding the Fourth Proportional to 175,085.88, 262,710.83 and 86,290.95

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Solution

The fourth proportional to 175,085.88, 262,710.83 and 86,290.95 is: 129,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,085.88 : 262,710.83 = 86,290.95 : x
  2. Step 2: Convert to fraction form
    175,085.88/262,710.83 = 86,290.95/x
  3. Step 3: Cross multiply
    175,085.88x = 262,710.83 × 86,290.95
  4. Step 4: Simplify right side
    175,085.88x = 22,669,566,664.53
  5. Step 5: Solve for x
    x = 22,669,566,664.53/175,085.88
  6. Step 6: Final answer
    x = 129,476.84

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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.