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Finding the Fourth Proportional to 300,203.21, 414,264.98 and 164,210.69

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Solution

The fourth proportional to 300,203.21, 414,264.98 and 164,210.69 is: 226,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,203.21 : 414,264.98 = 164,210.69 : x
  2. Step 2: Convert to fraction form
    300,203.21/414,264.98 = 164,210.69/x
  3. Step 3: Cross multiply
    300,203.21x = 414,264.98 × 164,210.69
  4. Step 4: Simplify right side
    300,203.21x = 68,026,739,654.83
  5. Step 5: Solve for x
    x = 68,026,739,654.83/300,203.21
  6. Step 6: Final answer
    x = 226,602.30

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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.