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Finding the Fourth Proportional to 201,071.64, 301,607.26 and 51,311.93

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Solution

The fourth proportional to 201,071.64, 301,607.26 and 51,311.93 is: 76,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,071.64 : 301,607.26 = 51,311.93 : x
  2. Step 2: Convert to fraction form
    201,071.64/301,607.26 = 51,311.93/x
  3. Step 3: Cross multiply
    201,071.64x = 301,607.26 × 51,311.93
  4. Step 4: Simplify right side
    201,071.64x = 15,476,050,612.61
  5. Step 5: Solve for x
    x = 15,476,050,612.61/201,071.64
  6. Step 6: Final answer
    x = 76,967.84

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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.