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Finding the Fourth Proportional to 100,812.96, 139,075.34 and 60,456.74

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Solution

The fourth proportional to 100,812.96, 139,075.34 and 60,456.74 is: 83,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812.96 : 139,075.34 = 60,456.74 : x
  2. Step 2: Convert to fraction form
    100,812.96/139,075.34 = 60,456.74/x
  3. Step 3: Cross multiply
    100,812.96x = 139,075.34 × 60,456.74
  4. Step 4: Simplify right side
    100,812.96x = 8,408,040,673.13
  5. Step 5: Solve for x
    x = 8,408,040,673.13/100,812.96
  6. Step 6: Final answer
    x = 83,402.38

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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.