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Finding the Fourth Proportional to 142,090.08, 196,078.50 and 78,427.02

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Solution

The fourth proportional to 142,090.08, 196,078.50 and 78,427.02 is: 108,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,090.08 : 196,078.50 = 78,427.02 : x
  2. Step 2: Convert to fraction form
    142,090.08/196,078.50 = 78,427.02/x
  3. Step 3: Cross multiply
    142,090.08x = 196,078.50 × 78,427.02
  4. Step 4: Simplify right side
    142,090.08x = 15,377,852,441.07
  5. Step 5: Solve for x
    x = 15,377,852,441.07/142,090.08
  6. Step 6: Final answer
    x = 108,226.08

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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.