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Finding the Fourth Proportional to 223,916.15, 308,990.27 and 123,314.15

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Solution

The fourth proportional to 223,916.15, 308,990.27 and 123,314.15 is: 170,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,916.15 : 308,990.27 = 123,314.15 : x
  2. Step 2: Convert to fraction form
    223,916.15/308,990.27 = 123,314.15/x
  3. Step 3: Cross multiply
    223,916.15x = 308,990.27 × 123,314.15
  4. Step 4: Simplify right side
    223,916.15x = 38,102,871,266.65
  5. Step 5: Solve for x
    x = 38,102,871,266.65/223,916.15
  6. Step 6: Final answer
    x = 170,165.81

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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.