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Finding the Fourth Proportional to 229,109.64, 316,049.28 and 133,581.48

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Solution

The fourth proportional to 229,109.64, 316,049.28 and 133,581.48 is: 184,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,109.64 : 316,049.28 = 133,581.48 : x
  2. Step 2: Convert to fraction form
    229,109.64/316,049.28 = 133,581.48/x
  3. Step 3: Cross multiply
    229,109.64x = 316,049.28 × 133,581.48
  4. Step 4: Simplify right side
    229,109.64x = 42,218,330,575.33
  5. Step 5: Solve for x
    x = 42,218,330,575.33/229,109.64
  6. Step 6: Final answer
    x = 184,271.30

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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.