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Finding the Fourth Proportional to 137,098.90, 189,200.37 and 76,671.82

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Solution

The fourth proportional to 137,098.90, 189,200.37 and 76,671.82 is: 105,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098.90 : 189,200.37 = 76,671.82 : x
  2. Step 2: Convert to fraction form
    137,098.90/189,200.37 = 76,671.82/x
  3. Step 3: Cross multiply
    137,098.90x = 189,200.37 × 76,671.82
  4. Step 4: Simplify right side
    137,098.90x = 14,506,336,712.57
  5. Step 5: Solve for x
    x = 14,506,336,712.57/137,098.90
  6. Step 6: Final answer
    x = 105,809.29

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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.