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Finding the Fourth Proportional to 137,463.40, 189,790.88 and 105,575.32

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Solution

The fourth proportional to 137,463.40, 189,790.88 and 105,575.32 is: 145,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,463.40 : 189,790.88 = 105,575.32 : x
  2. Step 2: Convert to fraction form
    137,463.40/189,790.88 = 105,575.32/x
  3. Step 3: Cross multiply
    137,463.40x = 189,790.88 × 105,575.32
  4. Step 4: Simplify right side
    137,463.40x = 20,037,232,889.08
  5. Step 5: Solve for x
    x = 20,037,232,889.08/137,463.40
  6. Step 6: Final answer
    x = 145,764.13

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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.