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Finding the Fourth Proportional to 117,522.40, 176,312.76 and 55,120

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Solution

The fourth proportional to 117,522.40, 176,312.76 and 55,120 is: 82,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,522.40 : 176,312.76 = 55,120 : x
  2. Step 2: Convert to fraction form
    117,522.40/176,312.76 = 55,120/x
  3. Step 3: Cross multiply
    117,522.40x = 176,312.76 × 55,120
  4. Step 4: Simplify right side
    117,522.40x = 9,718,359,331.20
  5. Step 5: Solve for x
    x = 9,718,359,331.20/117,522.40
  6. Step 6: Final answer
    x = 82,693.68

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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.