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Finding the Fourth Proportional to 160,484.71, 221,476.50 and 96,821.14

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Solution

The fourth proportional to 160,484.71, 221,476.50 and 96,821.14 is: 133,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,484.71 : 221,476.50 = 96,821.14 : x
  2. Step 2: Convert to fraction form
    160,484.71/221,476.50 = 96,821.14/x
  3. Step 3: Cross multiply
    160,484.71x = 221,476.50 × 96,821.14
  4. Step 4: Simplify right side
    160,484.71x = 21,443,607,213.21
  5. Step 5: Solve for x
    x = 21,443,607,213.21/160,484.71
  6. Step 6: Final answer
    x = 133,617.76

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Why These Related Problems?

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