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Finding the Fourth Proportional to 201,225.60, 301,838.40 and 151,033.95

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Solution

The fourth proportional to 201,225.60, 301,838.40 and 151,033.95 is: 226,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225.60 : 301,838.40 = 151,033.95 : x
  2. Step 2: Convert to fraction form
    201,225.60/301,838.40 = 151,033.95/x
  3. Step 3: Cross multiply
    201,225.60x = 301,838.40 × 151,033.95
  4. Step 4: Simplify right side
    201,225.60x = 45,587,845,813.68
  5. Step 5: Solve for x
    x = 45,587,845,813.68/201,225.60
  6. Step 6: Final answer
    x = 226,550.93

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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.