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Finding the Fourth Proportional to 120,532, 166,334.16 and 70,240.72

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Solution

The fourth proportional to 120,532, 166,334.16 and 70,240.72 is: 96,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,532 : 166,334.16 = 70,240.72 : x
  2. Step 2: Convert to fraction form
    120,532/166,334.16 = 70,240.72/x
  3. Step 3: Cross multiply
    120,532x = 166,334.16 × 70,240.72
  4. Step 4: Simplify right side
    120,532x = 11,683,431,159.00
  5. Step 5: Solve for x
    x = 11,683,431,159.00/120,532
  6. Step 6: Final answer
    x = 96,932.19

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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.