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Finding the Fourth Proportional to 201,713.40, 302,051.70 and 148,836.60

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Solution

The fourth proportional to 201,713.40, 302,051.70 and 148,836.60 is: 222,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713.40 : 302,051.70 = 148,836.60 : x
  2. Step 2: Convert to fraction form
    201,713.40/302,051.70 = 148,836.60/x
  3. Step 3: Cross multiply
    201,713.40x = 302,051.70 × 148,836.60
  4. Step 4: Simplify right side
    201,713.40x = 44,956,348,052.22
  5. Step 5: Solve for x
    x = 44,956,348,052.22/201,713.40
  6. Step 6: Final answer
    x = 222,872.39

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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.