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Finding the Fourth Proportional to 119,192.31, 164,486.03 and 65,475.99

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Solution

The fourth proportional to 119,192.31, 164,486.03 and 65,475.99 is: 90,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,192.31 : 164,486.03 = 65,475.99 : x
  2. Step 2: Convert to fraction form
    119,192.31/164,486.03 = 65,475.99/x
  3. Step 3: Cross multiply
    119,192.31x = 164,486.03 × 65,475.99
  4. Step 4: Simplify right side
    119,192.31x = 10,769,885,328.04
  5. Step 5: Solve for x
    x = 10,769,885,328.04/119,192.31
  6. Step 6: Final answer
    x = 90,357.22

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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.