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Finding the Fourth Proportional to 142,373.49, 196,442.78 and 85,001.64

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Solution

The fourth proportional to 142,373.49, 196,442.78 and 85,001.64 is: 117,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,373.49 : 196,442.78 = 85,001.64 : x
  2. Step 2: Convert to fraction form
    142,373.49/196,442.78 = 85,001.64/x
  3. Step 3: Cross multiply
    142,373.49x = 196,442.78 × 85,001.64
  4. Step 4: Simplify right side
    142,373.49x = 16,697,958,041.15
  5. Step 5: Solve for x
    x = 16,697,958,041.15/142,373.49
  6. Step 6: Final answer
    x = 117,282.78

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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.