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Finding the Fourth Proportional to 223,959.58, 309,064.16 and 123,357.58

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Solution

The fourth proportional to 223,959.58, 309,064.16 and 123,357.58 is: 170,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,959.58 : 309,064.16 = 123,357.58 : x
  2. Step 2: Convert to fraction form
    223,959.58/309,064.16 = 123,357.58/x
  3. Step 3: Cross multiply
    223,959.58x = 309,064.16 × 123,357.58
  4. Step 4: Simplify right side
    223,959.58x = 38,125,406,842.33
  5. Step 5: Solve for x
    x = 38,125,406,842.33/223,959.58
  6. Step 6: Final answer
    x = 170,233.43

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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.