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Finding the Fourth Proportional to 144,706.80, 217,075.23 and 39,525.75

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Solution

The fourth proportional to 144,706.80, 217,075.23 and 39,525.75 is: 59,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,706.80 : 217,075.23 = 39,525.75 : x
  2. Step 2: Convert to fraction form
    144,706.80/217,075.23 = 39,525.75/x
  3. Step 3: Cross multiply
    144,706.80x = 217,075.23 × 39,525.75
  4. Step 4: Simplify right side
    144,706.80x = 8,580,061,272.17
  5. Step 5: Solve for x
    x = 8,580,061,272.17/144,706.80
  6. Step 6: Final answer
    x = 59,292.73

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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.