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Finding the Fourth Proportional to 137,038.26, 189,114.19 and 76,612.26

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Solution

The fourth proportional to 137,038.26, 189,114.19 and 76,612.26 is: 105,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.26 : 189,114.19 = 76,612.26 : x
  2. Step 2: Convert to fraction form
    137,038.26/189,114.19 = 76,612.26/x
  3. Step 3: Cross multiply
    137,038.26x = 189,114.19 × 76,612.26
  4. Step 4: Simplify right side
    137,038.26x = 14,488,464,548.40
  5. Step 5: Solve for x
    x = 14,488,464,548.40/137,038.26
  6. Step 6: Final answer
    x = 105,725.69

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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.