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Finding the Fourth Proportional to 101,827.34, 152,852.74 and 80,901.89

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Solution

The fourth proportional to 101,827.34, 152,852.74 and 80,901.89 is: 121,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,827.34 : 152,852.74 = 80,901.89 : x
  2. Step 2: Convert to fraction form
    101,827.34/152,852.74 = 80,901.89/x
  3. Step 3: Cross multiply
    101,827.34x = 152,852.74 × 80,901.89
  4. Step 4: Simplify right side
    101,827.34x = 12,366,074,793.41
  5. Step 5: Solve for x
    x = 12,366,074,793.41/101,827.34
  6. Step 6: Final answer
    x = 121,441.60

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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.