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Finding the Fourth Proportional to 160,435.68, 221,331.72 and 96,738.09

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Solution

The fourth proportional to 160,435.68, 221,331.72 and 96,738.09 is: 133,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,435.68 : 221,331.72 = 96,738.09 : x
  2. Step 2: Convert to fraction form
    160,435.68/221,331.72 = 96,738.09/x
  3. Step 3: Cross multiply
    160,435.68x = 221,331.72 × 96,738.09
  4. Step 4: Simplify right side
    160,435.68x = 21,411,207,434.22
  5. Step 5: Solve for x
    x = 21,411,207,434.22/160,435.68
  6. Step 6: Final answer
    x = 133,456.65

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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.