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Finding the Fourth Proportional to 263,701.36, 363,889.74 and 147,407.32

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Solution

The fourth proportional to 263,701.36, 363,889.74 and 147,407.32 is: 203,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,701.36 : 363,889.74 = 147,407.32 : x
  2. Step 2: Convert to fraction form
    263,701.36/363,889.74 = 147,407.32/x
  3. Step 3: Cross multiply
    263,701.36x = 363,889.74 × 147,407.32
  4. Step 4: Simplify right side
    263,701.36x = 53,640,011,348.90
  5. Step 5: Solve for x
    x = 53,640,011,348.90/263,701.36
  6. Step 6: Final answer
    x = 203,411.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.