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Finding the Fourth Proportional to 131,084, 196,576.08 and 46,828.40

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Solution

The fourth proportional to 131,084, 196,576.08 and 46,828.40 is: 70,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,084 : 196,576.08 = 46,828.40 : x
  2. Step 2: Convert to fraction form
    131,084/196,576.08 = 46,828.40/x
  3. Step 3: Cross multiply
    131,084x = 196,576.08 × 46,828.40
  4. Step 4: Simplify right side
    131,084x = 9,205,343,304.67
  5. Step 5: Solve for x
    x = 9,205,343,304.67/131,084
  6. Step 6: Final answer
    x = 70,224.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.