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Finding the Fourth Proportional to 196,347.09, 294,626.34 and 78,019.50

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Solution

The fourth proportional to 196,347.09, 294,626.34 and 78,019.50 is: 117,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,347.09 : 294,626.34 = 78,019.50 : x
  2. Step 2: Convert to fraction form
    196,347.09/294,626.34 = 78,019.50/x
  3. Step 3: Cross multiply
    196,347.09x = 294,626.34 × 78,019.50
  4. Step 4: Simplify right side
    196,347.09x = 22,986,599,733.63
  5. Step 5: Solve for x
    x = 22,986,599,733.63/196,347.09
  6. Step 6: Final answer
    x = 117,071.25

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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.