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Finding the Fourth Proportional to 117,141.19, 175,711.78 and 47,020.50

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Solution

The fourth proportional to 117,141.19, 175,711.78 and 47,020.50 is: 70,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,141.19 : 175,711.78 = 47,020.50 : x
  2. Step 2: Convert to fraction form
    117,141.19/175,711.78 = 47,020.50/x
  3. Step 3: Cross multiply
    117,141.19x = 175,711.78 × 47,020.50
  4. Step 4: Simplify right side
    117,141.19x = 8,262,055,810.27
  5. Step 5: Solve for x
    x = 8,262,055,810.27/117,141.19
  6. Step 6: Final answer
    x = 70,530.75

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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.