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Finding the Fourth Proportional to 140,011.53, 210,016.85 and 34,830.50

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Solution

The fourth proportional to 140,011.53, 210,016.85 and 34,830.50 is: 52,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,011.53 : 210,016.85 = 34,830.50 : x
  2. Step 2: Convert to fraction form
    140,011.53/210,016.85 = 34,830.50/x
  3. Step 3: Cross multiply
    140,011.53x = 210,016.85 × 34,830.50
  4. Step 4: Simplify right side
    140,011.53x = 7,314,991,893.93
  5. Step 5: Solve for x
    x = 7,314,991,893.93/140,011.53
  6. Step 6: Final answer
    x = 52,245.64

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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.