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Finding the Fourth Proportional to 117,381, 176,071.56 and 47,309.52

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Solution

The fourth proportional to 117,381, 176,071.56 and 47,309.52 is: 70,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,381 : 176,071.56 = 47,309.52 : x
  2. Step 2: Convert to fraction form
    117,381/176,071.56 = 47,309.52/x
  3. Step 3: Cross multiply
    117,381x = 176,071.56 × 47,309.52
  4. Step 4: Simplify right side
    117,381x = 8,329,860,989.25
  5. Step 5: Solve for x
    x = 8,329,860,989.25/117,381
  6. Step 6: Final answer
    x = 70,964.30

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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.