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Finding the Fourth Proportional to 144,709.60, 217,064.40 and 81,464.80

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Solution

The fourth proportional to 144,709.60, 217,064.40 and 81,464.80 is: 122,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,709.60 : 217,064.40 = 81,464.80 : x
  2. Step 2: Convert to fraction form
    144,709.60/217,064.40 = 81,464.80/x
  3. Step 3: Cross multiply
    144,709.60x = 217,064.40 × 81,464.80
  4. Step 4: Simplify right side
    144,709.60x = 17,683,107,933.12
  5. Step 5: Solve for x
    x = 17,683,107,933.12/144,709.60
  6. Step 6: Final answer
    x = 122,197.20

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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.