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Finding the Fourth Proportional to 265,006.95, 397,597.89 and 107,149.29

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Solution

The fourth proportional to 265,006.95, 397,597.89 and 107,149.29 is: 160,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,006.95 : 397,597.89 = 107,149.29 : x
  2. Step 2: Convert to fraction form
    265,006.95/397,597.89 = 107,149.29/x
  3. Step 3: Cross multiply
    265,006.95x = 397,597.89 × 107,149.29
  4. Step 4: Simplify right side
    265,006.95x = 42,602,331,619.00
  5. Step 5: Solve for x
    x = 42,602,331,619.00/265,006.95
  6. Step 6: Final answer
    x = 160,759.30

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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.