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Finding the Fourth Proportional to 267,270.70, 368,833.68 and 146,416.36

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Solution

The fourth proportional to 267,270.70, 368,833.68 and 146,416.36 is: 202,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,270.70 : 368,833.68 = 146,416.36 : x
  2. Step 2: Convert to fraction form
    267,270.70/368,833.68 = 146,416.36/x
  3. Step 3: Cross multiply
    267,270.70x = 368,833.68 × 146,416.36
  4. Step 4: Simplify right side
    267,270.70x = 54,003,284,871.00
  5. Step 5: Solve for x
    x = 54,003,284,871.00/267,270.70
  6. Step 6: Final answer
    x = 202,054.64

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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.