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Finding the Fourth Proportional to 357,896.18, 536,843.97 and 105,182.87

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Solution

The fourth proportional to 357,896.18, 536,843.97 and 105,182.87 is: 157,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,896.18 : 536,843.97 = 105,182.87 : x
  2. Step 2: Convert to fraction form
    357,896.18/536,843.97 = 105,182.87/x
  3. Step 3: Cross multiply
    357,896.18x = 536,843.97 × 105,182.87
  4. Step 4: Simplify right side
    357,896.18x = 56,466,786,822.57
  5. Step 5: Solve for x
    x = 56,466,786,822.57/357,896.18
  6. Step 6: Final answer
    x = 157,774.21

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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.