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Finding the Fourth Proportional to 144,675.20, 202,960 and 144,675.20

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Solution

The fourth proportional to 144,675.20, 202,960 and 144,675.20 is: 202,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,675.20 : 202,960 = 144,675.20 : x
  2. Step 2: Convert to fraction form
    144,675.20/202,960 = 144,675.20/x
  3. Step 3: Cross multiply
    144,675.20x = 202,960 × 144,675.20
  4. Step 4: Simplify right side
    144,675.20x = 29,363,278,592.00
  5. Step 5: Solve for x
    x = 29,363,278,592.00/144,675.20
  6. Step 6: Final answer
    x = 202,960

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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.