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Finding the Fourth Proportional to 131,014.65, 196,563.51 and 46,773

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Solution

The fourth proportional to 131,014.65, 196,563.51 and 46,773 is: 70,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,014.65 : 196,563.51 = 46,773 : x
  2. Step 2: Convert to fraction form
    131,014.65/196,563.51 = 46,773/x
  3. Step 3: Cross multiply
    131,014.65x = 196,563.51 × 46,773
  4. Step 4: Simplify right side
    131,014.65x = 9,193,865,053.23
  5. Step 5: Solve for x
    x = 9,193,865,053.23/131,014.65
  6. Step 6: Final answer
    x = 70,174.33

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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.