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Finding the Fourth Proportional to 164,298.31, 226,526.22 and 137,113.49

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Solution

The fourth proportional to 164,298.31, 226,526.22 and 137,113.49 is: 189,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,298.31 : 226,526.22 = 137,113.49 : x
  2. Step 2: Convert to fraction form
    164,298.31/226,526.22 = 137,113.49/x
  3. Step 3: Cross multiply
    164,298.31x = 226,526.22 × 137,113.49
  4. Step 4: Simplify right side
    164,298.31x = 31,059,801,167.02
  5. Step 5: Solve for x
    x = 31,059,801,167.02/164,298.31
  6. Step 6: Final answer
    x = 189,045.17

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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.