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Finding the Fourth Proportional to 152,329.42, 210,214.74 and 85,261.42

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Solution

The fourth proportional to 152,329.42, 210,214.74 and 85,261.42 is: 117,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,329.42 : 210,214.74 = 85,261.42 : x
  2. Step 2: Convert to fraction form
    152,329.42/210,214.74 = 85,261.42/x
  3. Step 3: Cross multiply
    152,329.42x = 210,214.74 × 85,261.42
  4. Step 4: Simplify right side
    152,329.42x = 17,923,207,237.33
  5. Step 5: Solve for x
    x = 17,923,207,237.33/152,329.42
  6. Step 6: Final answer
    x = 117,660.84

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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.