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Finding the Fourth Proportional to 120,492.77, 166,261.21 and 69,507.42

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Solution

The fourth proportional to 120,492.77, 166,261.21 and 69,507.42 is: 95,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,492.77 : 166,261.21 = 69,507.42 : x
  2. Step 2: Convert to fraction form
    120,492.77/166,261.21 = 69,507.42/x
  3. Step 3: Cross multiply
    120,492.77x = 166,261.21 × 69,507.42
  4. Step 4: Simplify right side
    120,492.77x = 11,556,386,955.93
  5. Step 5: Solve for x
    x = 11,556,386,955.93/120,492.77
  6. Step 6: Final answer
    x = 95,909.38

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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.