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Finding the Fourth Proportional to 116,014.34, 160,051.97 and 70,675.77

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Solution

The fourth proportional to 116,014.34, 160,051.97 and 70,675.77 is: 97,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,014.34 : 160,051.97 = 70,675.77 : x
  2. Step 2: Convert to fraction form
    116,014.34/160,051.97 = 70,675.77/x
  3. Step 3: Cross multiply
    116,014.34x = 160,051.97 × 70,675.77
  4. Step 4: Simplify right side
    116,014.34x = 11,311,795,866.39
  5. Step 5: Solve for x
    x = 11,311,795,866.39/116,014.34
  6. Step 6: Final answer
    x = 97,503.43

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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.