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Finding the Fourth Proportional to 119,756.98, 165,223.53 and 76,771.19

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Solution

The fourth proportional to 119,756.98, 165,223.53 and 76,771.19 is: 105,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,756.98 : 165,223.53 = 76,771.19 : x
  2. Step 2: Convert to fraction form
    119,756.98/165,223.53 = 76,771.19/x
  3. Step 3: Cross multiply
    119,756.98x = 165,223.53 × 76,771.19
  4. Step 4: Simplify right side
    119,756.98x = 12,684,406,187.98
  5. Step 5: Solve for x
    x = 12,684,406,187.98/119,756.98
  6. Step 6: Final answer
    x = 105,917.89

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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.