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Finding the Fourth Proportional to 144,865.10, 217,297.65 and 144,865.10

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Solution

The fourth proportional to 144,865.10, 217,297.65 and 144,865.10 is: 217,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,865.10 : 217,297.65 = 144,865.10 : x
  2. Step 2: Convert to fraction form
    144,865.10/217,297.65 = 144,865.10/x
  3. Step 3: Cross multiply
    144,865.10x = 217,297.65 × 144,865.10
  4. Step 4: Simplify right side
    144,865.10x = 31,478,845,797.02
  5. Step 5: Solve for x
    x = 31,478,845,797.02/144,865.10
  6. Step 6: Final answer
    x = 217,297.65

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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.