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Finding the Fourth Proportional to 265,198.90, 397,165.16 and 152,642.52

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Solution

The fourth proportional to 265,198.90, 397,165.16 and 152,642.52 is: 228,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,198.90 : 397,165.16 = 152,642.52 : x
  2. Step 2: Convert to fraction form
    265,198.90/397,165.16 = 152,642.52/x
  3. Step 3: Cross multiply
    265,198.90x = 397,165.16 × 152,642.52
  4. Step 4: Simplify right side
    265,198.90x = 60,624,290,878.60
  5. Step 5: Solve for x
    x = 60,624,290,878.60/265,198.90
  6. Step 6: Final answer
    x = 228,599.33

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1.5x scale

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.