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Finding the Fourth Proportional to 201,070.89, 301,606.13 and 51,311.18

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Solution

The fourth proportional to 201,070.89, 301,606.13 and 51,311.18 is: 76,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,070.89 : 301,606.13 = 51,311.18 : x
  2. Step 2: Convert to fraction form
    201,070.89/301,606.13 = 51,311.18/x
  3. Step 3: Cross multiply
    201,070.89x = 301,606.13 × 51,311.18
  4. Step 4: Simplify right side
    201,070.89x = 15,475,765,707.50
  5. Step 5: Solve for x
    x = 15,475,765,707.50/201,070.89
  6. Step 6: Final answer
    x = 76,966.72

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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.