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Finding the Fourth Proportional to 291,812.16, 402,676.64 and 164,519.04

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Solution

The fourth proportional to 291,812.16, 402,676.64 and 164,519.04 is: 227,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,812.16 : 402,676.64 = 164,519.04 : x
  2. Step 2: Convert to fraction form
    291,812.16/402,676.64 = 164,519.04/x
  3. Step 3: Cross multiply
    291,812.16x = 402,676.64 × 164,519.04
  4. Step 4: Simplify right side
    291,812.16x = 66,247,974,243.23
  5. Step 5: Solve for x
    x = 66,247,974,243.23/291,812.16
  6. Step 6: Final answer
    x = 227,022.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.