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Finding the Fourth Proportional to 194,463.38, 291,695 and 46,719.38

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Solution

The fourth proportional to 194,463.38, 291,695 and 46,719.38 is: 70,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,463.38 : 291,695 = 46,719.38 : x
  2. Step 2: Convert to fraction form
    194,463.38/291,695 = 46,719.38/x
  3. Step 3: Cross multiply
    194,463.38x = 291,695 × 46,719.38
  4. Step 4: Simplify right side
    194,463.38x = 13,627,809,549.10
  5. Step 5: Solve for x
    x = 13,627,809,549.10/194,463.38
  6. Step 6: Final answer
    x = 70,079.05

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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.