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Finding the Fourth Proportional to 105,425.30, 158,174.40 and 101,780.30

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Solution

The fourth proportional to 105,425.30, 158,174.40 and 101,780.30 is: 152,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,425.30 : 158,174.40 = 101,780.30 : x
  2. Step 2: Convert to fraction form
    105,425.30/158,174.40 = 101,780.30/x
  3. Step 3: Cross multiply
    105,425.30x = 158,174.40 × 101,780.30
  4. Step 4: Simplify right side
    105,425.30x = 16,099,037,884.32
  5. Step 5: Solve for x
    x = 16,099,037,884.32/105,425.30
  6. Step 6: Final answer
    x = 152,705.64

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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.