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Finding the Fourth Proportional to 103,414.80, 144,977.55 and 103,414.80

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Solution

The fourth proportional to 103,414.80, 144,977.55 and 103,414.80 is: 144,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.80 : 144,977.55 = 103,414.80 : x
  2. Step 2: Convert to fraction form
    103,414.80/144,977.55 = 103,414.80/x
  3. Step 3: Cross multiply
    103,414.80x = 144,977.55 × 103,414.80
  4. Step 4: Simplify right side
    103,414.80x = 14,992,824,337.74
  5. Step 5: Solve for x
    x = 14,992,824,337.74/103,414.80
  6. Step 6: Final answer
    x = 144,977.55

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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.