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Finding the Fourth Proportional to 267,142.75, 368,643.24 and 146,260.65

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Solution

The fourth proportional to 267,142.75, 368,643.24 and 146,260.65 is: 201,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142.75 : 368,643.24 = 146,260.65 : x
  2. Step 2: Convert to fraction form
    267,142.75/368,643.24 = 146,260.65/x
  3. Step 3: Cross multiply
    267,142.75x = 368,643.24 × 146,260.65
  4. Step 4: Simplify right side
    267,142.75x = 53,917,999,900.51
  5. Step 5: Solve for x
    x = 53,917,999,900.51/267,142.75
  6. Step 6: Final answer
    x = 201,832.17

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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.