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Finding the Fourth Proportional to 201,223.60, 301,835.40 and 134,738.80

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Solution

The fourth proportional to 201,223.60, 301,835.40 and 134,738.80 is: 202,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,223.60 : 301,835.40 = 134,738.80 : x
  2. Step 2: Convert to fraction form
    201,223.60/301,835.40 = 134,738.80/x
  3. Step 3: Cross multiply
    201,223.60x = 301,835.40 × 134,738.80
  4. Step 4: Simplify right side
    201,223.60x = 40,668,939,593.52
  5. Step 5: Solve for x
    x = 40,668,939,593.52/201,223.60
  6. Step 6: Final answer
    x = 202,108.20

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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.