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Finding the Fourth Proportional to 142,185.68, 196,206.32 and 78,522.96

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Solution

The fourth proportional to 142,185.68, 196,206.32 and 78,522.96 is: 108,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,185.68 : 196,206.32 = 78,522.96 : x
  2. Step 2: Convert to fraction form
    142,185.68/196,206.32 = 78,522.96/x
  3. Step 3: Cross multiply
    142,185.68x = 196,206.32 × 78,522.96
  4. Step 4: Simplify right side
    142,185.68x = 15,406,701,017.11
  5. Step 5: Solve for x
    x = 15,406,701,017.11/142,185.68
  6. Step 6: Final answer
    x = 108,356.21

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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.