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Finding the Fourth Proportional to 214,449.23, 295,934.22 and 123,802.13

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Solution

The fourth proportional to 214,449.23, 295,934.22 and 123,802.13 is: 170,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,449.23 : 295,934.22 = 123,802.13 : x
  2. Step 2: Convert to fraction form
    214,449.23/295,934.22 = 123,802.13/x
  3. Step 3: Cross multiply
    214,449.23x = 295,934.22 × 123,802.13
  4. Step 4: Simplify right side
    214,449.23x = 36,637,285,296.22
  5. Step 5: Solve for x
    x = 36,637,285,296.22/214,449.23
  6. Step 6: Final answer
    x = 170,843.64

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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.