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Finding the Fourth Proportional to 102,663.86, 141,673.23 and 57,340.50

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Solution

The fourth proportional to 102,663.86, 141,673.23 and 57,340.50 is: 79,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,663.86 : 141,673.23 = 57,340.50 : x
  2. Step 2: Convert to fraction form
    102,663.86/141,673.23 = 57,340.50/x
  3. Step 3: Cross multiply
    102,663.86x = 141,673.23 × 57,340.50
  4. Step 4: Simplify right side
    102,663.86x = 8,123,613,844.82
  5. Step 5: Solve for x
    x = 8,123,613,844.82/102,663.86
  6. Step 6: Final answer
    x = 79,128.28

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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.