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Finding the Fourth Proportional to 216,994.20, 299,252.16 and 148,891.02

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Solution

The fourth proportional to 216,994.20, 299,252.16 and 148,891.02 is: 205,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,994.20 : 299,252.16 = 148,891.02 : x
  2. Step 2: Convert to fraction form
    216,994.20/299,252.16 = 148,891.02/x
  3. Step 3: Cross multiply
    216,994.20x = 299,252.16 × 148,891.02
  4. Step 4: Simplify right side
    216,994.20x = 44,555,959,339.60
  5. Step 5: Solve for x
    x = 44,555,959,339.60/216,994.20
  6. Step 6: Final answer
    x = 205,332.49

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1.5x scale

Why These Related Problems?

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