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Finding the Fourth Proportional to 139,193.01, 192,075.80 and 81,834.69

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Solution

The fourth proportional to 139,193.01, 192,075.80 and 81,834.69 is: 112,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,193.01 : 192,075.80 = 81,834.69 : x
  2. Step 2: Convert to fraction form
    139,193.01/192,075.80 = 81,834.69/x
  3. Step 3: Cross multiply
    139,193.01x = 192,075.80 × 81,834.69
  4. Step 4: Simplify right side
    139,193.01x = 15,718,463,140.33
  5. Step 5: Solve for x
    x = 15,718,463,140.33/139,193.01
  6. Step 6: Final answer
    x = 112,925.66

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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.