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Finding the Fourth Proportional to 142,365, 196,446.65 and 78,694.14

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Solution

The fourth proportional to 142,365, 196,446.65 and 78,694.14 is: 108,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,365 : 196,446.65 = 78,694.14 : x
  2. Step 2: Convert to fraction form
    142,365/196,446.65 = 78,694.14/x
  3. Step 3: Cross multiply
    142,365x = 196,446.65 × 78,694.14
  4. Step 4: Simplify right side
    142,365x = 15,459,199,784.16
  5. Step 5: Solve for x
    x = 15,459,199,784.16/142,365
  6. Step 6: Final answer
    x = 108,588.49

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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.