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Finding the Fourth Proportional to 120,948, 166,908.24 and 70,647.36

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Solution

The fourth proportional to 120,948, 166,908.24 and 70,647.36 is: 97,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,948 : 166,908.24 = 70,647.36 : x
  2. Step 2: Convert to fraction form
    120,948/166,908.24 = 70,647.36/x
  3. Step 3: Cross multiply
    120,948x = 166,908.24 × 70,647.36
  4. Step 4: Simplify right side
    120,948x = 11,791,626,518.25
  5. Step 5: Solve for x
    x = 11,791,626,518.25/120,948
  6. Step 6: Final answer
    x = 97,493.36

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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.