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Finding the Fourth Proportional to 233,632.88, 322,311.64 and 142,992.88

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Solution

The fourth proportional to 233,632.88, 322,311.64 and 142,992.88 is: 197,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,632.88 : 322,311.64 = 142,992.88 : x
  2. Step 2: Convert to fraction form
    233,632.88/322,311.64 = 142,992.88/x
  3. Step 3: Cross multiply
    233,632.88x = 322,311.64 × 142,992.88
  4. Step 4: Simplify right side
    233,632.88x = 46,088,269,661.12
  5. Step 5: Solve for x
    x = 46,088,269,661.12/233,632.88
  6. Step 6: Final answer
    x = 197,267.91

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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.