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Finding the Fourth Proportional to 102,108.19, 140,888.62 and 59,658.52

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Solution

The fourth proportional to 102,108.19, 140,888.62 and 59,658.52 is: 82,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,108.19 : 140,888.62 = 59,658.52 : x
  2. Step 2: Convert to fraction form
    102,108.19/140,888.62 = 59,658.52/x
  3. Step 3: Cross multiply
    102,108.19x = 140,888.62 × 59,658.52
  4. Step 4: Simplify right side
    102,108.19x = 8,405,206,554.04
  5. Step 5: Solve for x
    x = 8,405,206,554.04/102,108.19
  6. Step 6: Final answer
    x = 82,316.67

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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.