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Finding the Fourth Proportional to 117,707.56, 176,505.84 and 42,775

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Solution

The fourth proportional to 117,707.56, 176,505.84 and 42,775 is: 64,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,707.56 : 176,505.84 = 42,775 : x
  2. Step 2: Convert to fraction form
    117,707.56/176,505.84 = 42,775/x
  3. Step 3: Cross multiply
    117,707.56x = 176,505.84 × 42,775
  4. Step 4: Simplify right side
    117,707.56x = 7,550,037,306
  5. Step 5: Solve for x
    x = 7,550,037,306/117,707.56
  6. Step 6: Final answer
    x = 64,142.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.