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Finding the Fourth Proportional to 260,714, 359,785.32 and 141,482

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Solution

The fourth proportional to 260,714, 359,785.32 and 141,482 is: 195,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,714 : 359,785.32 = 141,482 : x
  2. Step 2: Convert to fraction form
    260,714/359,785.32 = 141,482/x
  3. Step 3: Cross multiply
    260,714x = 359,785.32 × 141,482
  4. Step 4: Simplify right side
    260,714x = 50,903,146,644.24
  5. Step 5: Solve for x
    x = 50,903,146,644.24/260,714
  6. Step 6: Final answer
    x = 195,245.16

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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.