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Finding the Fourth Proportional to 305,130.74, 421,105.25 and 169,207.25

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Solution

The fourth proportional to 305,130.74, 421,105.25 and 169,207.25 is: 233,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,130.74 : 421,105.25 = 169,207.25 : x
  2. Step 2: Convert to fraction form
    305,130.74/421,105.25 = 169,207.25/x
  3. Step 3: Cross multiply
    305,130.74x = 421,105.25 × 169,207.25
  4. Step 4: Simplify right side
    305,130.74x = 71,254,059,630.55
  5. Step 5: Solve for x
    x = 71,254,059,630.55/305,130.74
  6. Step 6: Final answer
    x = 233,519.77

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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.