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Finding the Fourth Proportional to 194,494.80, 291,751.32 and 94,535.84

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Solution

The fourth proportional to 194,494.80, 291,751.32 and 94,535.84 is: 141,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,494.80 : 291,751.32 = 94,535.84 : x
  2. Step 2: Convert to fraction form
    194,494.80/291,751.32 = 94,535.84/x
  3. Step 3: Cross multiply
    194,494.80x = 291,751.32 × 94,535.84
  4. Step 4: Simplify right side
    194,494.80x = 27,580,956,659.43
  5. Step 5: Solve for x
    x = 27,580,956,659.43/194,494.80
  6. Step 6: Final answer
    x = 141,808.19

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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.