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Finding the Fourth Proportional to 119,670.24, 165,146.01 and 65,957.14

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Solution

The fourth proportional to 119,670.24, 165,146.01 and 65,957.14 is: 91,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,670.24 : 165,146.01 = 65,957.14 : x
  2. Step 2: Convert to fraction form
    119,670.24/165,146.01 = 65,957.14/x
  3. Step 3: Cross multiply
    119,670.24x = 165,146.01 × 65,957.14
  4. Step 4: Simplify right side
    119,670.24x = 10,892,558,461.10
  5. Step 5: Solve for x
    x = 10,892,558,461.10/119,670.24
  6. Step 6: Final answer
    x = 91,021.44

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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.