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Finding the Fourth Proportional to 140,354, 210,567.48 and 41,858

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Solution

The fourth proportional to 140,354, 210,567.48 and 41,858 is: 62,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,354 : 210,567.48 = 41,858 : x
  2. Step 2: Convert to fraction form
    140,354/210,567.48 = 41,858/x
  3. Step 3: Cross multiply
    140,354x = 210,567.48 × 41,858
  4. Step 4: Simplify right side
    140,354x = 8,813,933,577.84
  5. Step 5: Solve for x
    x = 8,813,933,577.84/140,354
  6. Step 6: Final answer
    x = 62,797.88

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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.