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Finding the Fourth Proportional to 205,323.70, 283,346.13 and 115,899.70

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Solution

The fourth proportional to 205,323.70, 283,346.13 and 115,899.70 is: 159,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,323.70 : 283,346.13 = 115,899.70 : x
  2. Step 2: Convert to fraction form
    205,323.70/283,346.13 = 115,899.70/x
  3. Step 3: Cross multiply
    205,323.70x = 283,346.13 × 115,899.70
  4. Step 4: Simplify right side
    205,323.70x = 32,839,731,463.16
  5. Step 5: Solve for x
    x = 32,839,731,463.16/205,323.70
  6. Step 6: Final answer
    x = 159,941.26

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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.