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Finding the Fourth Proportional to 229,090.32, 316,144.54 and 133,578.57

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Solution

The fourth proportional to 229,090.32, 316,144.54 and 133,578.57 is: 184,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,090.32 : 316,144.54 = 133,578.57 : x
  2. Step 2: Convert to fraction form
    229,090.32/316,144.54 = 133,578.57/x
  3. Step 3: Cross multiply
    229,090.32x = 316,144.54 × 133,578.57
  4. Step 4: Simplify right side
    229,090.32x = 42,230,135,566.51
  5. Step 5: Solve for x
    x = 42,230,135,566.51/229,090.32
  6. Step 6: Final answer
    x = 184,338.37

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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.