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Finding the Fourth Proportional to 139,741.84, 192,813.84 and 83,142.16

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Solution

The fourth proportional to 139,741.84, 192,813.84 and 83,142.16 is: 114,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,741.84 : 192,813.84 = 83,142.16 : x
  2. Step 2: Convert to fraction form
    139,741.84/192,813.84 = 83,142.16/x
  3. Step 3: Cross multiply
    139,741.84x = 192,813.84 × 83,142.16
  4. Step 4: Simplify right side
    139,741.84x = 16,030,959,135.49
  5. Step 5: Solve for x
    x = 16,030,959,135.49/139,741.84
  6. Step 6: Final answer
    x = 114,718.39

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1.5x scale

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.