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Finding the Fourth Proportional to 144,914.80, 202,466 and 144,914.80

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Solution

The fourth proportional to 144,914.80, 202,466 and 144,914.80 is: 202,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,914.80 : 202,466 = 144,914.80 : x
  2. Step 2: Convert to fraction form
    144,914.80/202,466 = 144,914.80/x
  3. Step 3: Cross multiply
    144,914.80x = 202,466 × 144,914.80
  4. Step 4: Simplify right side
    144,914.80x = 29,340,319,896.80
  5. Step 5: Solve for x
    x = 29,340,319,896.80/144,914.80
  6. Step 6: Final answer
    x = 202,466

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1.5x scale

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.