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Finding the Fourth Proportional to 142,407.30, 196,523.34 and 78,749.40

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Solution

The fourth proportional to 142,407.30, 196,523.34 and 78,749.40 is: 108,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,407.30 : 196,523.34 = 78,749.40 : x
  2. Step 2: Convert to fraction form
    142,407.30/196,523.34 = 78,749.40/x
  3. Step 3: Cross multiply
    142,407.30x = 196,523.34 × 78,749.40
  4. Step 4: Simplify right side
    142,407.30x = 15,476,095,111.00
  5. Step 5: Solve for x
    x = 15,476,095,111.00/142,407.30
  6. Step 6: Final answer
    x = 108,674.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.