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Finding the Fourth Proportional to 117,701.56, 176,496.88 and 42,769

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Solution

The fourth proportional to 117,701.56, 176,496.88 and 42,769 is: 64,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,701.56 : 176,496.88 = 42,769 : x
  2. Step 2: Convert to fraction form
    117,701.56/176,496.88 = 42,769/x
  3. Step 3: Cross multiply
    117,701.56x = 176,496.88 × 42,769
  4. Step 4: Simplify right side
    117,701.56x = 7,548,595,060.72
  5. Step 5: Solve for x
    x = 7,548,595,060.72/117,701.56
  6. Step 6: Final answer
    x = 64,133.35

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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.