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Finding the Fourth Proportional to 300,152.59, 414,195.12 and 164,160.07

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Solution

The fourth proportional to 300,152.59, 414,195.12 and 164,160.07 is: 226,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,152.59 : 414,195.12 = 164,160.07 : x
  2. Step 2: Convert to fraction form
    300,152.59/414,195.12 = 164,160.07/x
  3. Step 3: Cross multiply
    300,152.59x = 414,195.12 × 164,160.07
  4. Step 4: Simplify right side
    300,152.59x = 67,994,298,857.37
  5. Step 5: Solve for x
    x = 67,994,298,857.37/300,152.59
  6. Step 6: Final answer
    x = 226,532.44

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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.