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Finding the Fourth Proportional to 102,196.69, 141,031.43 and 57,484.69

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Solution

The fourth proportional to 102,196.69, 141,031.43 and 57,484.69 is: 79,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,196.69 : 141,031.43 = 57,484.69 : x
  2. Step 2: Convert to fraction form
    102,196.69/141,031.43 = 57,484.69/x
  3. Step 3: Cross multiply
    102,196.69x = 141,031.43 × 57,484.69
  4. Step 4: Simplify right side
    102,196.69x = 8,107,147,609.37
  5. Step 5: Solve for x
    x = 8,107,147,609.37/102,196.69
  6. Step 6: Final answer
    x = 79,328.87

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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.