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Finding the Fourth Proportional to 229,150.72, 316,266 and 133,657.41

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Solution

The fourth proportional to 229,150.72, 316,266 and 133,657.41 is: 184,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,150.72 : 316,266 = 133,657.41 : x
  2. Step 2: Convert to fraction form
    229,150.72/316,266 = 133,657.41/x
  3. Step 3: Cross multiply
    229,150.72x = 316,266 × 133,657.41
  4. Step 4: Simplify right side
    229,150.72x = 42,271,294,431.06
  5. Step 5: Solve for x
    x = 42,271,294,431.06/229,150.72
  6. Step 6: Final answer
    x = 184,469.39

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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.