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Finding the Fourth Proportional to 152,677.80, 229,016.70 and 105,438.60

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Solution

The fourth proportional to 152,677.80, 229,016.70 and 105,438.60 is: 158,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,677.80 : 229,016.70 = 105,438.60 : x
  2. Step 2: Convert to fraction form
    152,677.80/229,016.70 = 105,438.60/x
  3. Step 3: Cross multiply
    152,677.80x = 229,016.70 × 105,438.60
  4. Step 4: Simplify right side
    152,677.80x = 24,147,200,224.62
  5. Step 5: Solve for x
    x = 24,147,200,224.62/152,677.80
  6. Step 6: Final answer
    x = 158,157.90

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