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Finding the Fourth Proportional to 194,465.38, 291,698 and 46,721.38

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Solution

The fourth proportional to 194,465.38, 291,698 and 46,721.38 is: 70,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,465.38 : 291,698 = 46,721.38 : x
  2. Step 2: Convert to fraction form
    194,465.38/291,698 = 46,721.38/x
  3. Step 3: Cross multiply
    194,465.38x = 291,698 × 46,721.38
  4. Step 4: Simplify right side
    194,465.38x = 13,628,533,103.24
  5. Step 5: Solve for x
    x = 13,628,533,103.24/194,465.38
  6. Step 6: Final answer
    x = 70,082.05

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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.