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Finding the Fourth Proportional to 226,008.54, 311,871.14 and 134,111.98

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Solution

The fourth proportional to 226,008.54, 311,871.14 and 134,111.98 is: 185,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,008.54 : 311,871.14 = 134,111.98 : x
  2. Step 2: Convert to fraction form
    226,008.54/311,871.14 = 134,111.98/x
  3. Step 3: Cross multiply
    226,008.54x = 311,871.14 × 134,111.98
  4. Step 4: Simplify right side
    226,008.54x = 41,825,656,090.26
  5. Step 5: Solve for x
    x = 41,825,656,090.26/226,008.54
  6. Step 6: Final answer
    x = 185,062.28

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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.