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Finding the Fourth Proportional to 142,293.96, 196,357.94 and 78,627.66

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Solution

The fourth proportional to 142,293.96, 196,357.94 and 78,627.66 is: 108,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,293.96 : 196,357.94 = 78,627.66 : x
  2. Step 2: Convert to fraction form
    142,293.96/196,357.94 = 78,627.66/x
  3. Step 3: Cross multiply
    142,293.96x = 196,357.94 × 78,627.66
  4. Step 4: Simplify right side
    142,293.96x = 15,439,164,509.99
  5. Step 5: Solve for x
    x = 15,439,164,509.99/142,293.96
  6. Step 6: Final answer
    x = 108,501.90

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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.