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Finding the Fourth Proportional to 201,227.60, 302,424.60 and 175,566.80

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Solution

The fourth proportional to 201,227.60, 302,424.60 and 175,566.80 is: 263,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,227.60 : 302,424.60 = 175,566.80 : x
  2. Step 2: Convert to fraction form
    201,227.60/302,424.60 = 175,566.80/x
  3. Step 3: Cross multiply
    201,227.60x = 302,424.60 × 175,566.80
  4. Step 4: Simplify right side
    201,227.60x = 53,095,719,263.28
  5. Step 5: Solve for x
    x = 53,095,719,263.28/201,227.60
  6. Step 6: Final answer
    x = 263,859.03

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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.