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Finding the Fourth Proportional to 194,475.38, 291,713.07 and 46,731.38

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Solution

The fourth proportional to 194,475.38, 291,713.07 and 46,731.38 is: 70,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,475.38 : 291,713.07 = 46,731.38 : x
  2. Step 2: Convert to fraction form
    194,475.38/291,713.07 = 46,731.38/x
  3. Step 3: Cross multiply
    194,475.38x = 291,713.07 × 46,731.38
  4. Step 4: Simplify right side
    194,475.38x = 13,632,152,866.57
  5. Step 5: Solve for x
    x = 13,632,152,866.57/194,475.38
  6. Step 6: Final answer
    x = 70,097.06

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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.