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Finding the Fourth Proportional to 313,332.85, 470,075.61 and 100,100.56

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Solution

The fourth proportional to 313,332.85, 470,075.61 and 100,100.56 is: 150,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,332.85 : 470,075.61 = 100,100.56 : x
  2. Step 2: Convert to fraction form
    313,332.85/470,075.61 = 100,100.56/x
  3. Step 3: Cross multiply
    313,332.85x = 470,075.61 × 100,100.56
  4. Step 4: Simplify right side
    313,332.85x = 47,054,831,803.34
  5. Step 5: Solve for x
    x = 47,054,831,803.34/313,332.85
  6. Step 6: Final answer
    x = 150,175.23

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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.