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Finding the Fourth Proportional to 102,652.44, 141,656.22 and 57,329.70

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Solution

The fourth proportional to 102,652.44, 141,656.22 and 57,329.70 is: 79,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,652.44 : 141,656.22 = 57,329.70 : x
  2. Step 2: Convert to fraction form
    102,652.44/141,656.22 = 57,329.70/x
  3. Step 3: Cross multiply
    102,652.44x = 141,656.22 × 57,329.70
  4. Step 4: Simplify right side
    102,652.44x = 8,121,108,595.73
  5. Step 5: Solve for x
    x = 8,121,108,595.73/102,652.44
  6. Step 6: Final answer
    x = 79,112.67

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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.