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Finding the Fourth Proportional to 194,577.12, 291,865.76 and 46,833.12

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Solution

The fourth proportional to 194,577.12, 291,865.76 and 46,833.12 is: 70,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,577.12 : 291,865.76 = 46,833.12 : x
  2. Step 2: Convert to fraction form
    194,577.12/291,865.76 = 46,833.12/x
  3. Step 3: Cross multiply
    194,577.12x = 291,865.76 × 46,833.12
  4. Step 4: Simplify right side
    194,577.12x = 13,668,984,161.97
  5. Step 5: Solve for x
    x = 13,668,984,161.97/194,577.12
  6. Step 6: Final answer
    x = 70,249.70

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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.