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Finding the Fourth Proportional to 142,071.63, 196,084.28 and 84,714.65

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Solution

The fourth proportional to 142,071.63, 196,084.28 and 84,714.65 is: 116,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,071.63 : 196,084.28 = 84,714.65 : x
  2. Step 2: Convert to fraction form
    142,071.63/196,084.28 = 84,714.65/x
  3. Step 3: Cross multiply
    142,071.63x = 196,084.28 × 84,714.65
  4. Step 4: Simplify right side
    142,071.63x = 16,611,211,217.34
  5. Step 5: Solve for x
    x = 16,611,211,217.34/142,071.63
  6. Step 6: Final answer
    x = 116,921.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.