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Finding the Fourth Proportional to 118,442, 163,434.24 and 76,058

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Solution

The fourth proportional to 118,442, 163,434.24 and 76,058 is: 104,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,442 : 163,434.24 = 76,058 : x
  2. Step 2: Convert to fraction form
    118,442/163,434.24 = 76,058/x
  3. Step 3: Cross multiply
    118,442x = 163,434.24 × 76,058
  4. Step 4: Simplify right side
    118,442x = 12,430,481,425.92
  5. Step 5: Solve for x
    x = 12,430,481,425.92/118,442
  6. Step 6: Final answer
    x = 104,949.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.