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Finding the Fourth Proportional to 140,021.08, 210,034.50 and 78,085.72

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Solution

The fourth proportional to 140,021.08, 210,034.50 and 78,085.72 is: 117,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,021.08 : 210,034.50 = 78,085.72 : x
  2. Step 2: Convert to fraction form
    140,021.08/210,034.50 = 78,085.72/x
  3. Step 3: Cross multiply
    140,021.08x = 210,034.50 × 78,085.72
  4. Step 4: Simplify right side
    140,021.08x = 16,400,695,157.34
  5. Step 5: Solve for x
    x = 16,400,695,157.34/140,021.08
  6. Step 6: Final answer
    x = 117,130.19

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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.