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Finding the Fourth Proportional to 142,106.64, 196,107.20 and 78,444.48

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Solution

The fourth proportional to 142,106.64, 196,107.20 and 78,444.48 is: 108,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,106.64 : 196,107.20 = 78,444.48 : x
  2. Step 2: Convert to fraction form
    142,106.64/196,107.20 = 78,444.48/x
  3. Step 3: Cross multiply
    142,106.64x = 196,107.20 × 78,444.48
  4. Step 4: Simplify right side
    142,106.64x = 15,383,527,328.26
  5. Step 5: Solve for x
    x = 15,383,527,328.26/142,106.64
  6. Step 6: Final answer
    x = 108,253.40

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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.