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Finding the Fourth Proportional to 145,924.19, 201,375.38 and 78,856.19

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Solution

The fourth proportional to 145,924.19, 201,375.38 and 78,856.19 is: 108,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,924.19 : 201,375.38 = 78,856.19 : x
  2. Step 2: Convert to fraction form
    145,924.19/201,375.38 = 78,856.19/x
  3. Step 3: Cross multiply
    145,924.19x = 201,375.38 × 78,856.19
  4. Step 4: Simplify right side
    145,924.19x = 15,879,695,226.60
  5. Step 5: Solve for x
    x = 15,879,695,226.60/145,924.19
  6. Step 6: Final answer
    x = 108,821.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.