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Finding the Fourth Proportional to 159,506.16, 238,833.72 and 126,294

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Solution

The fourth proportional to 159,506.16, 238,833.72 and 126,294 is: 189,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,506.16 : 238,833.72 = 126,294 : x
  2. Step 2: Convert to fraction form
    159,506.16/238,833.72 = 126,294/x
  3. Step 3: Cross multiply
    159,506.16x = 238,833.72 × 126,294
  4. Step 4: Simplify right side
    159,506.16x = 30,163,265,833.68
  5. Step 5: Solve for x
    x = 30,163,265,833.68/159,506.16
  6. Step 6: Final answer
    x = 189,104.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.