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Finding the Fourth Proportional to 119,396.57, 164,725.88 and 74,058.24

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Solution

The fourth proportional to 119,396.57, 164,725.88 and 74,058.24 is: 102,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,396.57 : 164,725.88 = 74,058.24 : x
  2. Step 2: Convert to fraction form
    119,396.57/164,725.88 = 74,058.24/x
  3. Step 3: Cross multiply
    119,396.57x = 164,725.88 × 74,058.24
  4. Step 4: Simplify right side
    119,396.57x = 12,199,308,384.96
  5. Step 5: Solve for x
    x = 12,199,308,384.96/119,396.57
  6. Step 6: Final answer
    x = 102,174.70

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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.