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Finding the Fourth Proportional to 227,861.48, 314,004.84 and 164,078.84

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Solution

The fourth proportional to 227,861.48, 314,004.84 and 164,078.84 is: 226,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,861.48 : 314,004.84 = 164,078.84 : x
  2. Step 2: Convert to fraction form
    227,861.48/314,004.84 = 164,078.84/x
  3. Step 3: Cross multiply
    227,861.48x = 314,004.84 × 164,078.84
  4. Step 4: Simplify right side
    227,861.48x = 51,521,550,071.30
  5. Step 5: Solve for x
    x = 51,521,550,071.30/227,861.48
  6. Step 6: Final answer
    x = 226,109.08

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1.5x scale

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.