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Finding the Fourth Proportional to 201,223.80, 301,835.70 and 148,079.70

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Solution

The fourth proportional to 201,223.80, 301,835.70 and 148,079.70 is: 222,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,223.80 : 301,835.70 = 148,079.70 : x
  2. Step 2: Convert to fraction form
    201,223.80/301,835.70 = 148,079.70/x
  3. Step 3: Cross multiply
    201,223.80x = 301,835.70 × 148,079.70
  4. Step 4: Simplify right side
    201,223.80x = 44,695,739,905.29
  5. Step 5: Solve for x
    x = 44,695,739,905.29/201,223.80
  6. Step 6: Final answer
    x = 222,119.55

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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.