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Finding the Fourth Proportional to 116,668.80, 175,089.60 and 77,212.80

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Solution

The fourth proportional to 116,668.80, 175,089.60 and 77,212.80 is: 115,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,668.80 : 175,089.60 = 77,212.80 : x
  2. Step 2: Convert to fraction form
    116,668.80/175,089.60 = 77,212.80/x
  3. Step 3: Cross multiply
    116,668.80x = 175,089.60 × 77,212.80
  4. Step 4: Simplify right side
    116,668.80x = 13,519,158,266.88
  5. Step 5: Solve for x
    x = 13,519,158,266.88/116,668.80
  6. Step 6: Final answer
    x = 115,876.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.