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Finding the Fourth Proportional to 201,764.60, 302,490.02 and 130,536.74

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Solution

The fourth proportional to 201,764.60, 302,490.02 and 130,536.74 is: 195,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,764.60 : 302,490.02 = 130,536.74 : x
  2. Step 2: Convert to fraction form
    201,764.60/302,490.02 = 130,536.74/x
  3. Step 3: Cross multiply
    201,764.60x = 302,490.02 × 130,536.74
  4. Step 4: Simplify right side
    201,764.60x = 39,486,061,093.33
  5. Step 5: Solve for x
    x = 39,486,061,093.33/201,764.60
  6. Step 6: Final answer
    x = 195,703.62

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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.