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Finding the Fourth Proportional to 119,029.06, 164,259.63 and 65,314.98

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Solution

The fourth proportional to 119,029.06, 164,259.63 and 65,314.98 is: 90,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,029.06 : 164,259.63 = 65,314.98 : x
  2. Step 2: Convert to fraction form
    119,029.06/164,259.63 = 65,314.98/x
  3. Step 3: Cross multiply
    119,029.06x = 164,259.63 × 65,314.98
  4. Step 4: Simplify right side
    119,029.06x = 10,728,614,448.26
  5. Step 5: Solve for x
    x = 10,728,614,448.26/119,029.06
  6. Step 6: Final answer
    x = 90,134.41

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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.