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Finding the Fourth Proportional to 115,838.58, 173,430.20 and 73,614

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Solution

The fourth proportional to 115,838.58, 173,430.20 and 73,614 is: 110,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,838.58 : 173,430.20 = 73,614 : x
  2. Step 2: Convert to fraction form
    115,838.58/173,430.20 = 73,614/x
  3. Step 3: Cross multiply
    115,838.58x = 173,430.20 × 73,614
  4. Step 4: Simplify right side
    115,838.58x = 12,766,890,742.80
  5. Step 5: Solve for x
    x = 12,766,890,742.80/115,838.58
  6. Step 6: Final answer
    x = 110,212.77

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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.