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Finding the Fourth Proportional to 144,860.40, 217,297.32 and 74,876.40

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Solution

The fourth proportional to 144,860.40, 217,297.32 and 74,876.40 is: 112,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,860.40 : 217,297.32 = 74,876.40 : x
  2. Step 2: Convert to fraction form
    144,860.40/217,297.32 = 74,876.40/x
  3. Step 3: Cross multiply
    144,860.40x = 217,297.32 × 74,876.40
  4. Step 4: Simplify right side
    144,860.40x = 16,270,441,051.25
  5. Step 5: Solve for x
    x = 16,270,441,051.25/144,860.40
  6. Step 6: Final answer
    x = 112,318.07

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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.