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Finding the Fourth Proportional to 119,321.44, 164,663.72 and 65,607.36

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Solution

The fourth proportional to 119,321.44, 164,663.72 and 65,607.36 is: 90,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,321.44 : 164,663.72 = 65,607.36 : x
  2. Step 2: Convert to fraction form
    119,321.44/164,663.72 = 65,607.36/x
  3. Step 3: Cross multiply
    119,321.44x = 164,663.72 × 65,607.36
  4. Step 4: Simplify right side
    119,321.44x = 10,803,151,956.98
  5. Step 5: Solve for x
    x = 10,803,151,956.98/119,321.44
  6. Step 6: Final answer
    x = 90,538.23

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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.