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Finding the Fourth Proportional to 223,205.76, 334,801.62 and 54,726.57

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Solution

The fourth proportional to 223,205.76, 334,801.62 and 54,726.57 is: 82,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,205.76 : 334,801.62 = 54,726.57 : x
  2. Step 2: Convert to fraction form
    223,205.76/334,801.62 = 54,726.57/x
  3. Step 3: Cross multiply
    223,205.76x = 334,801.62 × 54,726.57
  4. Step 4: Simplify right side
    223,205.76x = 18,322,544,293.04
  5. Step 5: Solve for x
    x = 18,322,544,293.04/223,205.76
  6. Step 6: Final answer
    x = 82,088.13

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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.