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Finding the Fourth Proportional to 223,886.30, 308,863.15 and 151,265.75

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Solution

The fourth proportional to 223,886.30, 308,863.15 and 151,265.75 is: 208,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,886.30 : 308,863.15 = 151,265.75 : x
  2. Step 2: Convert to fraction form
    223,886.30/308,863.15 = 151,265.75/x
  3. Step 3: Cross multiply
    223,886.30x = 308,863.15 × 151,265.75
  4. Step 4: Simplify right side
    223,886.30x = 46,720,416,426.11
  5. Step 5: Solve for x
    x = 46,720,416,426.11/223,886.30
  6. Step 6: Final answer
    x = 208,679.21

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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.