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Finding the Fourth Proportional to 300,088.70, 414,107.10 and 164,096.26

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Solution

The fourth proportional to 300,088.70, 414,107.10 and 164,096.26 is: 226,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,088.70 : 414,107.10 = 164,096.26 : x
  2. Step 2: Convert to fraction form
    300,088.70/414,107.10 = 164,096.26/x
  3. Step 3: Cross multiply
    300,088.70x = 414,107.10 × 164,096.26
  4. Step 4: Simplify right side
    300,088.70x = 67,953,426,349.45
  5. Step 5: Solve for x
    x = 67,953,426,349.45/300,088.70
  6. Step 6: Final answer
    x = 226,444.47

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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.