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Finding the Fourth Proportional to 265,197.89, 397,163.67 and 152,641.52

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Solution

The fourth proportional to 265,197.89, 397,163.67 and 152,641.52 is: 228,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,197.89 : 397,163.67 = 152,641.52 : x
  2. Step 2: Convert to fraction form
    265,197.89/397,163.67 = 152,641.52/x
  3. Step 3: Cross multiply
    265,197.89x = 397,163.67 × 152,641.52
  4. Step 4: Simplify right side
    265,197.89x = 60,623,666,277.58
  5. Step 5: Solve for x
    x = 60,623,666,277.58/265,197.89
  6. Step 6: Final answer
    x = 228,597.85

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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.