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Finding the Fourth Proportional to 189,994.41, 284,860.40 and 83,327.13

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Solution

The fourth proportional to 189,994.41, 284,860.40 and 83,327.13 is: 124,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,994.41 : 284,860.40 = 83,327.13 : x
  2. Step 2: Convert to fraction form
    189,994.41/284,860.40 = 83,327.13/x
  3. Step 3: Cross multiply
    189,994.41x = 284,860.40 × 83,327.13
  4. Step 4: Simplify right side
    189,994.41x = 23,736,599,166.02
  5. Step 5: Solve for x
    x = 23,736,599,166.02/189,994.41
  6. Step 6: Final answer
    x = 124,933.14

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1.5x scale

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.