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Finding the Fourth Proportional to 233,577.70, 322,337.14 and 126,147.76

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Solution

The fourth proportional to 233,577.70, 322,337.14 and 126,147.76 is: 174,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,577.70 : 322,337.14 = 126,147.76 : x
  2. Step 2: Convert to fraction form
    233,577.70/322,337.14 = 126,147.76/x
  3. Step 3: Cross multiply
    233,577.70x = 322,337.14 × 126,147.76
  4. Step 4: Simplify right side
    233,577.70x = 40,662,108,175.81
  5. Step 5: Solve for x
    x = 40,662,108,175.81/233,577.70
  6. Step 6: Final answer
    x = 174,083.86

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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.