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Finding the Fourth Proportional to 304,145.12, 419,714.13 and 168,184.80

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Solution

The fourth proportional to 304,145.12, 419,714.13 and 168,184.80 is: 232,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,145.12 : 419,714.13 = 168,184.80 : x
  2. Step 2: Convert to fraction form
    304,145.12/419,714.13 = 168,184.80/x
  3. Step 3: Cross multiply
    304,145.12x = 419,714.13 × 168,184.80
  4. Step 4: Simplify right side
    304,145.12x = 70,589,537,011.22
  5. Step 5: Solve for x
    x = 70,589,537,011.22/304,145.12
  6. Step 6: Final answer
    x = 232,091.63

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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.