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Finding the Fourth Proportional to 142,009.70, 195,970.11 and 78,347.48

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Solution

The fourth proportional to 142,009.70, 195,970.11 and 78,347.48 is: 108,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,009.70 : 195,970.11 = 78,347.48 : x
  2. Step 2: Convert to fraction form
    142,009.70/195,970.11 = 78,347.48/x
  3. Step 3: Cross multiply
    142,009.70x = 195,970.11 × 78,347.48
  4. Step 4: Simplify right side
    142,009.70x = 15,353,764,273.82
  5. Step 5: Solve for x
    x = 15,353,764,273.82/142,009.70
  6. Step 6: Final answer
    x = 108,117.72

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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.