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Finding the Fourth Proportional to 130,464.50, 195,678.11 and 41,706.32

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Solution

The fourth proportional to 130,464.50, 195,678.11 and 41,706.32 is: 62,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,464.50 : 195,678.11 = 41,706.32 : x
  2. Step 2: Convert to fraction form
    130,464.50/195,678.11 = 41,706.32/x
  3. Step 3: Cross multiply
    130,464.50x = 195,678.11 × 41,706.32
  4. Step 4: Simplify right side
    130,464.50x = 8,161,012,998.53
  5. Step 5: Solve for x
    x = 8,161,012,998.53/130,464.50
  6. Step 6: Final answer
    x = 62,553.52

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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.