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Finding the Fourth Proportional to 100,613.84, 150,977.40 and 92,682.32

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Solution

The fourth proportional to 100,613.84, 150,977.40 and 92,682.32 is: 139,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.84 : 150,977.40 = 92,682.32 : x
  2. Step 2: Convert to fraction form
    100,613.84/150,977.40 = 92,682.32/x
  3. Step 3: Cross multiply
    100,613.84x = 150,977.40 × 92,682.32
  4. Step 4: Simplify right side
    100,613.84x = 13,992,935,699.57
  5. Step 5: Solve for x
    x = 13,992,935,699.57/100,613.84
  6. Step 6: Final answer
    x = 139,075.65

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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.