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Finding the Fourth Proportional to 144,977, 200,068.80 and 84,589.34

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Solution

The fourth proportional to 144,977, 200,068.80 and 84,589.34 is: 116,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,977 : 200,068.80 = 84,589.34 : x
  2. Step 2: Convert to fraction form
    144,977/200,068.80 = 84,589.34/x
  3. Step 3: Cross multiply
    144,977x = 200,068.80 × 84,589.34
  4. Step 4: Simplify right side
    144,977x = 16,923,687,746.59
  5. Step 5: Solve for x
    x = 16,923,687,746.59/144,977
  6. Step 6: Final answer
    x = 116,733.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.