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Finding the Fourth Proportional to 120,465, 166,244.10 and 70,167.24

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Solution

The fourth proportional to 120,465, 166,244.10 and 70,167.24 is: 96,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,465 : 166,244.10 = 70,167.24 : x
  2. Step 2: Convert to fraction form
    120,465/166,244.10 = 70,167.24/x
  3. Step 3: Cross multiply
    120,465x = 166,244.10 × 70,167.24
  4. Step 4: Simplify right side
    120,465x = 11,664,889,663.28
  5. Step 5: Solve for x
    x = 11,664,889,663.28/120,465
  6. Step 6: Final answer
    x = 96,832.19

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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.