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Finding the Fourth Proportional to 137,430.21, 189,650.39 and 77,003.40

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Solution

The fourth proportional to 137,430.21, 189,650.39 and 77,003.40 is: 106,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,430.21 : 189,650.39 = 77,003.40 : x
  2. Step 2: Convert to fraction form
    137,430.21/189,650.39 = 77,003.40/x
  3. Step 3: Cross multiply
    137,430.21x = 189,650.39 × 77,003.40
  4. Step 4: Simplify right side
    137,430.21x = 14,603,724,456.31
  5. Step 5: Solve for x
    x = 14,603,724,456.31/137,430.21
  6. Step 6: Final answer
    x = 106,262.84

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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.