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Finding the Fourth Proportional to 137,461.40, 189,788.12 and 105,573.32

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Solution

The fourth proportional to 137,461.40, 189,788.12 and 105,573.32 is: 145,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,461.40 : 189,788.12 = 105,573.32 : x
  2. Step 2: Convert to fraction form
    137,461.40/189,788.12 = 105,573.32/x
  3. Step 3: Cross multiply
    137,461.40x = 189,788.12 × 105,573.32
  4. Step 4: Simplify right side
    137,461.40x = 20,036,561,924.96
  5. Step 5: Solve for x
    x = 20,036,561,924.96/137,461.40
  6. Step 6: Final answer
    x = 145,761.37

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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.