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Finding the Fourth Proportional to 142,854.35, 214,317.20 and 100,816.53

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Solution

The fourth proportional to 142,854.35, 214,317.20 and 100,816.53 is: 151,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,854.35 : 214,317.20 = 100,816.53 : x
  2. Step 2: Convert to fraction form
    142,854.35/214,317.20 = 100,816.53/x
  3. Step 3: Cross multiply
    142,854.35x = 214,317.20 × 100,816.53
  4. Step 4: Simplify right side
    142,854.35x = 21,606,717,396.42
  5. Step 5: Solve for x
    x = 21,606,717,396.42/142,854.35
  6. Step 6: Final answer
    x = 151,249.98

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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.