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Finding the Fourth Proportional to 194,714.20, 291,423.30 and 141,254.20

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Solution

The fourth proportional to 194,714.20, 291,423.30 and 141,254.20 is: 211,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,714.20 : 291,423.30 = 141,254.20 : x
  2. Step 2: Convert to fraction form
    194,714.20/291,423.30 = 141,254.20/x
  3. Step 3: Cross multiply
    194,714.20x = 291,423.30 × 141,254.20
  4. Step 4: Simplify right side
    194,714.20x = 41,164,765,102.86
  5. Step 5: Solve for x
    x = 41,164,765,102.86/194,714.20
  6. Step 6: Final answer
    x = 211,411.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.