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Finding the Fourth Proportional to 160,128, 220,976.64 and 89,472

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Solution

The fourth proportional to 160,128, 220,976.64 and 89,472 is: 123,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,128 : 220,976.64 = 89,472 : x
  2. Step 2: Convert to fraction form
    160,128/220,976.64 = 89,472/x
  3. Step 3: Cross multiply
    160,128x = 220,976.64 × 89,472
  4. Step 4: Simplify right side
    160,128x = 19,771,221,934.08
  5. Step 5: Solve for x
    x = 19,771,221,934.08/160,128
  6. Step 6: Final answer
    x = 123,471.36

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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.