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Finding the Fourth Proportional to 265,771.35, 398,509.11 and 157,744.62

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Solution

The fourth proportional to 265,771.35, 398,509.11 and 157,744.62 is: 236,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,771.35 : 398,509.11 = 157,744.62 : x
  2. Step 2: Convert to fraction form
    265,771.35/398,509.11 = 157,744.62/x
  3. Step 3: Cross multiply
    265,771.35x = 398,509.11 × 157,744.62
  4. Step 4: Simplify right side
    265,771.35x = 62,862,668,123.49
  5. Step 5: Solve for x
    x = 62,862,668,123.49/265,771.35
  6. Step 6: Final answer
    x = 236,529.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.