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Finding the Fourth Proportional to 201,364.30, 302,702.55 and 142,606.90

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Solution

The fourth proportional to 201,364.30, 302,702.55 and 142,606.90 is: 214,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,364.30 : 302,702.55 = 142,606.90 : x
  2. Step 2: Convert to fraction form
    201,364.30/302,702.55 = 142,606.90/x
  3. Step 3: Cross multiply
    201,364.30x = 302,702.55 × 142,606.90
  4. Step 4: Simplify right side
    201,364.30x = 43,167,472,277.60
  5. Step 5: Solve for x
    x = 43,167,472,277.60/201,364.30
  6. Step 6: Final answer
    x = 214,375.00

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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.