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Finding the Fourth Proportional to 137,158.44, 189,386.02 and 105,276.84

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Solution

The fourth proportional to 137,158.44, 189,386.02 and 105,276.84 is: 145,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,158.44 : 189,386.02 = 105,276.84 : x
  2. Step 2: Convert to fraction form
    137,158.44/189,386.02 = 105,276.84/x
  3. Step 3: Cross multiply
    137,158.44x = 189,386.02 × 105,276.84
  4. Step 4: Simplify right side
    137,158.44x = 19,937,961,725.78
  5. Step 5: Solve for x
    x = 19,937,961,725.78/137,158.44
  6. Step 6: Final answer
    x = 145,364.45

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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.