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Finding the Fourth Proportional to 233,630.88, 322,308.88 and 142,990.88

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Solution

The fourth proportional to 233,630.88, 322,308.88 and 142,990.88 is: 197,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,630.88 : 322,308.88 = 142,990.88 : x
  2. Step 2: Convert to fraction form
    233,630.88/322,308.88 = 142,990.88/x
  3. Step 3: Cross multiply
    233,630.88x = 322,308.88 × 142,990.88
  4. Step 4: Simplify right side
    233,630.88x = 46,087,230,383.01
  5. Step 5: Solve for x
    x = 46,087,230,383.01/233,630.88
  6. Step 6: Final answer
    x = 197,265.15

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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.