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Finding the Fourth Proportional to 155,435.82, 232,998 and 65,500.23

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Solution

The fourth proportional to 155,435.82, 232,998 and 65,500.23 is: 98,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,435.82 : 232,998 = 65,500.23 : x
  2. Step 2: Convert to fraction form
    155,435.82/232,998 = 65,500.23/x
  3. Step 3: Cross multiply
    155,435.82x = 232,998 × 65,500.23
  4. Step 4: Simplify right side
    155,435.82x = 15,261,422,589.54
  5. Step 5: Solve for x
    x = 15,261,422,589.54/155,435.82
  6. Step 6: Final answer
    x = 98,184.72

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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.