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Finding the Fourth Proportional to 201,737.12, 301,858.26 and 148,468.47

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Solution

The fourth proportional to 201,737.12, 301,858.26 and 148,468.47 is: 222,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,737.12 : 301,858.26 = 148,468.47 : x
  2. Step 2: Convert to fraction form
    201,737.12/301,858.26 = 148,468.47/x
  3. Step 3: Cross multiply
    201,737.12x = 301,858.26 × 148,468.47
  4. Step 4: Simplify right side
    201,737.12x = 44,816,432,330.34
  5. Step 5: Solve for x
    x = 44,816,432,330.34/201,737.12
  6. Step 6: Final answer
    x = 222,152.64

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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.