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Finding the Fourth Proportional to 102,662.60, 141,674.10 and 57,950.60

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Solution

The fourth proportional to 102,662.60, 141,674.10 and 57,950.60 is: 79,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662.60 : 141,674.10 = 57,950.60 : x
  2. Step 2: Convert to fraction form
    102,662.60/141,674.10 = 57,950.60/x
  3. Step 3: Cross multiply
    102,662.60x = 141,674.10 × 57,950.60
  4. Step 4: Simplify right side
    102,662.60x = 8,210,099,099.46
  5. Step 5: Solve for x
    x = 8,210,099,099.46/102,662.60
  6. Step 6: Final answer
    x = 79,971.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.