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Finding the Fourth Proportional to 154,714.86, 232,084.17 and 65,968.83

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Solution

The fourth proportional to 154,714.86, 232,084.17 and 65,968.83 is: 98,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,714.86 : 232,084.17 = 65,968.83 : x
  2. Step 2: Convert to fraction form
    154,714.86/232,084.17 = 65,968.83/x
  3. Step 3: Cross multiply
    154,714.86x = 232,084.17 × 65,968.83
  4. Step 4: Simplify right side
    154,714.86x = 15,310,321,156.42
  5. Step 5: Solve for x
    x = 15,310,321,156.42/154,714.86
  6. Step 6: Final answer
    x = 98,958.31

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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.