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Finding the Fourth Proportional to 116,714.20, 175,071.30 and 57,665.20

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Solution

The fourth proportional to 116,714.20, 175,071.30 and 57,665.20 is: 86,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714.20 : 175,071.30 = 57,665.20 : x
  2. Step 2: Convert to fraction form
    116,714.20/175,071.30 = 57,665.20/x
  3. Step 3: Cross multiply
    116,714.20x = 175,071.30 × 57,665.20
  4. Step 4: Simplify right side
    116,714.20x = 10,095,521,528.76
  5. Step 5: Solve for x
    x = 10,095,521,528.76/116,714.20
  6. Step 6: Final answer
    x = 86,497.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.