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Finding the Fourth Proportional to 205,707.59, 283,902.73 and 115,068.59

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Solution

The fourth proportional to 205,707.59, 283,902.73 and 115,068.59 is: 158,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707.59 : 283,902.73 = 115,068.59 : x
  2. Step 2: Convert to fraction form
    205,707.59/283,902.73 = 115,068.59/x
  3. Step 3: Cross multiply
    205,707.59x = 283,902.73 × 115,068.59
  4. Step 4: Simplify right side
    205,707.59x = 32,668,285,131.07
  5. Step 5: Solve for x
    x = 32,668,285,131.07/205,707.59
  6. Step 6: Final answer
    x = 158,809.34

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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.