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Finding the Fourth Proportional to 147,504, 221,237.16 and 47,653.83

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Solution

The fourth proportional to 147,504, 221,237.16 and 47,653.83 is: 71,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,504 : 221,237.16 = 47,653.83 : x
  2. Step 2: Convert to fraction form
    147,504/221,237.16 = 47,653.83/x
  3. Step 3: Cross multiply
    147,504x = 221,237.16 × 47,653.83
  4. Step 4: Simplify right side
    147,504x = 10,542,798,012.32
  5. Step 5: Solve for x
    x = 10,542,798,012.32/147,504
  6. Step 6: Final answer
    x = 71,474.66

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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.