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Finding the Fourth Proportional to 216,460.43, 298,714.52 and 120,967.10

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Solution

The fourth proportional to 216,460.43, 298,714.52 and 120,967.10 is: 166,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,460.43 : 298,714.52 = 120,967.10 : x
  2. Step 2: Convert to fraction form
    216,460.43/298,714.52 = 120,967.10/x
  3. Step 3: Cross multiply
    216,460.43x = 298,714.52 × 120,967.10
  4. Step 4: Simplify right side
    216,460.43x = 36,134,628,021.14
  5. Step 5: Solve for x
    x = 36,134,628,021.14/216,460.43
  6. Step 6: Final answer
    x = 166,934.11

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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.