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Finding the Fourth Proportional to 268,059.40, 402,396.30 and 157,313.80

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Solution

The fourth proportional to 268,059.40, 402,396.30 and 157,313.80 is: 236,150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,059.40 : 402,396.30 = 157,313.80 : x
  2. Step 2: Convert to fraction form
    268,059.40/402,396.30 = 157,313.80/x
  3. Step 3: Cross multiply
    268,059.40x = 402,396.30 × 157,313.80
  4. Step 4: Simplify right side
    268,059.40x = 63,302,491,058.94
  5. Step 5: Solve for x
    x = 63,302,491,058.94/268,059.40
  6. Step 6: Final answer
    x = 236,150.98

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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.