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Finding the Fourth Proportional to 300,117.36, 414,144.99 and 164,124.30

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Solution

The fourth proportional to 300,117.36, 414,144.99 and 164,124.30 is: 226,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,117.36 : 414,144.99 = 164,124.30 : x
  2. Step 2: Convert to fraction form
    300,117.36/414,144.99 = 164,124.30/x
  3. Step 3: Cross multiply
    300,117.36x = 414,144.99 × 164,124.30
  4. Step 4: Simplify right side
    300,117.36x = 67,971,256,582.26
  5. Step 5: Solve for x
    x = 67,971,256,582.26/300,117.36
  6. Step 6: Final answer
    x = 226,482.26

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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.