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Finding the Fourth Proportional to 201,801.30, 302,701.95 and 151,281.60

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Solution

The fourth proportional to 201,801.30, 302,701.95 and 151,281.60 is: 226,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,801.30 : 302,701.95 = 151,281.60 : x
  2. Step 2: Convert to fraction form
    201,801.30/302,701.95 = 151,281.60/x
  3. Step 3: Cross multiply
    201,801.30x = 302,701.95 × 151,281.60
  4. Step 4: Simplify right side
    201,801.30x = 45,793,235,319.12
  5. Step 5: Solve for x
    x = 45,793,235,319.12/201,801.30
  6. Step 6: Final answer
    x = 226,922.40

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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.