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Finding the Fourth Proportional to 144,664.90, 202,064.30 and 144,664.90

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Solution

The fourth proportional to 144,664.90, 202,064.30 and 144,664.90 is: 202,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,664.90 : 202,064.30 = 144,664.90 : x
  2. Step 2: Convert to fraction form
    144,664.90/202,064.30 = 144,664.90/x
  3. Step 3: Cross multiply
    144,664.90x = 202,064.30 × 144,664.90
  4. Step 4: Simplify right side
    144,664.90x = 29,231,611,753.07
  5. Step 5: Solve for x
    x = 29,231,611,753.07/144,664.90
  6. Step 6: Final answer
    x = 202,064.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.