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Finding the Fourth Proportional to 137,542.70, 189,808.77 and 77,113.36

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Solution

The fourth proportional to 137,542.70, 189,808.77 and 77,113.36 is: 106,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,542.70 : 189,808.77 = 77,113.36 : x
  2. Step 2: Convert to fraction form
    137,542.70/189,808.77 = 77,113.36/x
  3. Step 3: Cross multiply
    137,542.70x = 189,808.77 × 77,113.36
  4. Step 4: Simplify right side
    137,542.70x = 14,636,792,012.17
  5. Step 5: Solve for x
    x = 14,636,792,012.17/137,542.70
  6. Step 6: Final answer
    x = 106,416.35

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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.