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Finding the Fourth Proportional to 121,683.08, 167,962.74 and 71,381

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Solution

The fourth proportional to 121,683.08, 167,962.74 and 71,381 is: 98,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,683.08 : 167,962.74 = 71,381 : x
  2. Step 2: Convert to fraction form
    121,683.08/167,962.74 = 71,381/x
  3. Step 3: Cross multiply
    121,683.08x = 167,962.74 × 71,381
  4. Step 4: Simplify right side
    121,683.08x = 11,989,348,343.94
  5. Step 5: Solve for x
    x = 11,989,348,343.94/121,683.08
  6. Step 6: Final answer
    x = 98,529.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.