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Finding the Fourth Proportional to 140,160.12, 210,301.74 and 73,584.78

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Solution

The fourth proportional to 140,160.12, 210,301.74 and 73,584.78 is: 110,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,160.12 : 210,301.74 = 73,584.78 : x
  2. Step 2: Convert to fraction form
    140,160.12/210,301.74 = 73,584.78/x
  3. Step 3: Cross multiply
    140,160.12x = 210,301.74 × 73,584.78
  4. Step 4: Simplify right side
    140,160.12x = 15,475,007,271.52
  5. Step 5: Solve for x
    x = 15,475,007,271.52/140,160.12
  6. Step 6: Final answer
    x = 110,409.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.