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Finding the Fourth Proportional to 142,188.84, 196,219.94 and 78,526.36

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Solution

The fourth proportional to 142,188.84, 196,219.94 and 78,526.36 is: 108,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,188.84 : 196,219.94 = 78,526.36 : x
  2. Step 2: Convert to fraction form
    142,188.84/196,219.94 = 78,526.36/x
  3. Step 3: Cross multiply
    142,188.84x = 196,219.94 × 78,526.36
  4. Step 4: Simplify right side
    142,188.84x = 15,408,437,647.62
  5. Step 5: Solve for x
    x = 15,408,437,647.62/142,188.84
  6. Step 6: Final answer
    x = 108,366.01

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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.