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Finding the Fourth Proportional to 142,258.42, 196,314.06 and 78,600.52

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Solution

The fourth proportional to 142,258.42, 196,314.06 and 78,600.52 is: 108,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,258.42 : 196,314.06 = 78,600.52 : x
  2. Step 2: Convert to fraction form
    142,258.42/196,314.06 = 78,600.52/x
  3. Step 3: Cross multiply
    142,258.42x = 196,314.06 × 78,600.52
  4. Step 4: Simplify right side
    142,258.42x = 15,430,387,199.31
  5. Step 5: Solve for x
    x = 15,430,387,199.31/142,258.42
  6. Step 6: Final answer
    x = 108,467.30

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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.