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Finding the Fourth Proportional to 229,406.83, 316,615.94 and 165,089.01

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Solution

The fourth proportional to 229,406.83, 316,615.94 and 165,089.01 is: 227,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,406.83 : 316,615.94 = 165,089.01 : x
  2. Step 2: Convert to fraction form
    229,406.83/316,615.94 = 165,089.01/x
  3. Step 3: Cross multiply
    229,406.83x = 316,615.94 × 165,089.01
  4. Step 4: Simplify right side
    229,406.83x = 52,269,812,084.82
  5. Step 5: Solve for x
    x = 52,269,812,084.82/229,406.83
  6. Step 6: Final answer
    x = 227,847.67

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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.