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Finding the Fourth Proportional to 310,109.66, 465,166.21 and 110,437.82

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Solution

The fourth proportional to 310,109.66, 465,166.21 and 110,437.82 is: 165,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,109.66 : 465,166.21 = 110,437.82 : x
  2. Step 2: Convert to fraction form
    310,109.66/465,166.21 = 110,437.82/x
  3. Step 3: Cross multiply
    310,109.66x = 465,166.21 × 110,437.82
  4. Step 4: Simplify right side
    310,109.66x = 51,371,942,170.06
  5. Step 5: Solve for x
    x = 51,371,942,170.06/310,109.66
  6. Step 6: Final answer
    x = 165,657.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.