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Finding the Fourth Proportional to 201,314.50, 302,070.16 and 142,527.94

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Solution

The fourth proportional to 201,314.50, 302,070.16 and 142,527.94 is: 213,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314.50 : 302,070.16 = 142,527.94 : x
  2. Step 2: Convert to fraction form
    201,314.50/302,070.16 = 142,527.94/x
  3. Step 3: Cross multiply
    201,314.50x = 302,070.16 × 142,527.94
  4. Step 4: Simplify right side
    201,314.50x = 43,053,437,640.27
  5. Step 5: Solve for x
    x = 43,053,437,640.27/201,314.50
  6. Step 6: Final answer
    x = 213,861.58

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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.