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Finding the Fourth Proportional to 312,719.74, 469,075.14 and 76,062.84

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Solution

The fourth proportional to 312,719.74, 469,075.14 and 76,062.84 is: 114,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,719.74 : 469,075.14 = 76,062.84 : x
  2. Step 2: Convert to fraction form
    312,719.74/469,075.14 = 76,062.84/x
  3. Step 3: Cross multiply
    312,719.74x = 469,075.14 × 76,062.84
  4. Step 4: Simplify right side
    312,719.74x = 35,679,187,321.80
  5. Step 5: Solve for x
    x = 35,679,187,321.80/312,719.74
  6. Step 6: Final answer
    x = 114,093.17

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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.