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Finding the Fourth Proportional to 201,710.80, 302,566.20 and 196,526.80

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Solution

The fourth proportional to 201,710.80, 302,566.20 and 196,526.80 is: 294,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.80 : 302,566.20 = 196,526.80 : x
  2. Step 2: Convert to fraction form
    201,710.80/302,566.20 = 196,526.80/x
  3. Step 3: Cross multiply
    201,710.80x = 302,566.20 × 196,526.80
  4. Step 4: Simplify right side
    201,710.80x = 59,462,367,074.16
  5. Step 5: Solve for x
    x = 59,462,367,074.16/201,710.80
  6. Step 6: Final answer
    x = 294,790.20

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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.