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Finding the Fourth Proportional to 144,894.80, 202,438 and 144,894.80

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Solution

The fourth proportional to 144,894.80, 202,438 and 144,894.80 is: 202,438

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,894.80 : 202,438 = 144,894.80 : x
  2. Step 2: Convert to fraction form
    144,894.80/202,438 = 144,894.80/x
  3. Step 3: Cross multiply
    144,894.80x = 202,438 × 144,894.80
  4. Step 4: Simplify right side
    144,894.80x = 29,332,213,522.40
  5. Step 5: Solve for x
    x = 29,332,213,522.40/144,894.80
  6. Step 6: Final answer
    x = 202,438

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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.