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Finding the Fourth Proportional to 142,181.36, 196,210.12 and 78,519

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Solution

The fourth proportional to 142,181.36, 196,210.12 and 78,519 is: 108,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,181.36 : 196,210.12 = 78,519 : x
  2. Step 2: Convert to fraction form
    142,181.36/196,210.12 = 78,519/x
  3. Step 3: Cross multiply
    142,181.36x = 196,210.12 × 78,519
  4. Step 4: Simplify right side
    142,181.36x = 15,406,222,412.28
  5. Step 5: Solve for x
    x = 15,406,222,412.28/142,181.36
  6. Step 6: Final answer
    x = 108,356.13

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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.