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Finding the Fourth Proportional to 142,071.69, 196,084.36 and 84,714.72

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Solution

The fourth proportional to 142,071.69, 196,084.36 and 84,714.72 is: 116,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,071.69 : 196,084.36 = 84,714.72 : x
  2. Step 2: Convert to fraction form
    142,071.69/196,084.36 = 84,714.72/x
  3. Step 3: Cross multiply
    142,071.69x = 196,084.36 × 84,714.72
  4. Step 4: Simplify right side
    142,071.69x = 16,611,231,653.78
  5. Step 5: Solve for x
    x = 16,611,231,653.78/142,071.69
  6. Step 6: Final answer
    x = 116,921.48

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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.