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Finding the Fourth Proportional to 203,886.90, 305,830.35 and 185,516.10

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Solution

The fourth proportional to 203,886.90, 305,830.35 and 185,516.10 is: 278,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,886.90 : 305,830.35 = 185,516.10 : x
  2. Step 2: Convert to fraction form
    203,886.90/305,830.35 = 185,516.10/x
  3. Step 3: Cross multiply
    203,886.90x = 305,830.35 × 185,516.10
  4. Step 4: Simplify right side
    203,886.90x = 56,736,453,793.64
  5. Step 5: Solve for x
    x = 56,736,453,793.64/203,886.90
  6. Step 6: Final answer
    x = 278,274.15

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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.