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Finding the Fourth Proportional to 233,048.70, 321,264.90 and 164,855.70

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Solution

The fourth proportional to 233,048.70, 321,264.90 and 164,855.70 is: 227,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,048.70 : 321,264.90 = 164,855.70 : x
  2. Step 2: Convert to fraction form
    233,048.70/321,264.90 = 164,855.70/x
  3. Step 3: Cross multiply
    233,048.70x = 321,264.90 × 164,855.70
  4. Step 4: Simplify right side
    233,048.70x = 52,962,349,974.93
  5. Step 5: Solve for x
    x = 52,962,349,974.93/233,048.70
  6. Step 6: Final answer
    x = 227,258.72

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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.