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Finding the Fourth Proportional to 137,154.94, 189,269.48 and 75,897.41

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Solution

The fourth proportional to 137,154.94, 189,269.48 and 75,897.41 is: 104,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154.94 : 189,269.48 = 75,897.41 : x
  2. Step 2: Convert to fraction form
    137,154.94/189,269.48 = 75,897.41/x
  3. Step 3: Cross multiply
    137,154.94x = 189,269.48 × 75,897.41
  4. Step 4: Simplify right side
    137,154.94x = 14,365,062,567.44
  5. Step 5: Solve for x
    x = 14,365,062,567.44/137,154.94
  6. Step 6: Final answer
    x = 104,736.02

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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.