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Finding the Fourth Proportional to 223,164.62, 334,746.47 and 81,009.82

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Solution

The fourth proportional to 223,164.62, 334,746.47 and 81,009.82 is: 121,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,164.62 : 334,746.47 = 81,009.82 : x
  2. Step 2: Convert to fraction form
    223,164.62/334,746.47 = 81,009.82/x
  3. Step 3: Cross multiply
    223,164.62x = 334,746.47 × 81,009.82
  4. Step 4: Simplify right side
    223,164.62x = 27,117,751,901.29
  5. Step 5: Solve for x
    x = 27,117,751,901.29/223,164.62
  6. Step 6: Final answer
    x = 121,514.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.