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Finding the Fourth Proportional to 159,776, 220,490.88 and 89,120

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Solution

The fourth proportional to 159,776, 220,490.88 and 89,120 is: 122,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,776 : 220,490.88 = 89,120 : x
  2. Step 2: Convert to fraction form
    159,776/220,490.88 = 89,120/x
  3. Step 3: Cross multiply
    159,776x = 220,490.88 × 89,120
  4. Step 4: Simplify right side
    159,776x = 19,650,147,225.60
  5. Step 5: Solve for x
    x = 19,650,147,225.60/159,776
  6. Step 6: Final answer
    x = 122,985.60

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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.