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Finding the Fourth Proportional to 164,420.51, 226,938.21 and 96,459.32

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Solution

The fourth proportional to 164,420.51, 226,938.21 and 96,459.32 is: 133,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,420.51 : 226,938.21 = 96,459.32 : x
  2. Step 2: Convert to fraction form
    164,420.51/226,938.21 = 96,459.32/x
  3. Step 3: Cross multiply
    164,420.51x = 226,938.21 × 96,459.32
  4. Step 4: Simplify right side
    164,420.51x = 21,890,304,283.93
  5. Step 5: Solve for x
    x = 21,890,304,283.93/164,420.51
  6. Step 6: Final answer
    x = 133,136.10

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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.