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Finding the Fourth Proportional to 192,085.24, 287,978.65 and 124,474.45

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Solution

The fourth proportional to 192,085.24, 287,978.65 and 124,474.45 is: 186,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,085.24 : 287,978.65 = 124,474.45 : x
  2. Step 2: Convert to fraction form
    192,085.24/287,978.65 = 124,474.45/x
  3. Step 3: Cross multiply
    192,085.24x = 287,978.65 × 124,474.45
  4. Step 4: Simplify right side
    192,085.24x = 35,845,984,070.49
  5. Step 5: Solve for x
    x = 35,845,984,070.49/192,085.24
  6. Step 6: Final answer
    x = 186,614.98

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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.