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Finding the Fourth Proportional to 160,064, 220,888.32 and 89,408

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Solution

The fourth proportional to 160,064, 220,888.32 and 89,408 is: 123,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064 : 220,888.32 = 89,408 : x
  2. Step 2: Convert to fraction form
    160,064/220,888.32 = 89,408/x
  3. Step 3: Cross multiply
    160,064x = 220,888.32 × 89,408
  4. Step 4: Simplify right side
    160,064x = 19,749,182,914.56
  5. Step 5: Solve for x
    x = 19,749,182,914.56/160,064
  6. Step 6: Final answer
    x = 123,383.04

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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.