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Finding the Fourth Proportional to 102,572.96, 141,554.64 and 57,860

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Solution

The fourth proportional to 102,572.96, 141,554.64 and 57,860 is: 79,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,572.96 : 141,554.64 = 57,860 : x
  2. Step 2: Convert to fraction form
    102,572.96/141,554.64 = 57,860/x
  3. Step 3: Cross multiply
    102,572.96x = 141,554.64 × 57,860
  4. Step 4: Simplify right side
    102,572.96x = 8,190,351,470.40
  5. Step 5: Solve for x
    x = 8,190,351,470.40/102,572.96
  6. Step 6: Final answer
    x = 79,849.03

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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.