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Finding the Fourth Proportional to 301,960.56, 416,710.88 and 166,000.24

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Solution

The fourth proportional to 301,960.56, 416,710.88 and 166,000.24 is: 229,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,960.56 : 416,710.88 = 166,000.24 : x
  2. Step 2: Convert to fraction form
    301,960.56/416,710.88 = 166,000.24/x
  3. Step 3: Cross multiply
    301,960.56x = 416,710.88 × 166,000.24
  4. Step 4: Simplify right side
    301,960.56x = 69,174,106,090.61
  5. Step 5: Solve for x
    x = 69,174,106,090.61/301,960.56
  6. Step 6: Final answer
    x = 229,083.25

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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.