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Finding the Fourth Proportional to 161,769.80, 242,654.70 and 105,782.60

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Solution

The fourth proportional to 161,769.80, 242,654.70 and 105,782.60 is: 158,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,769.80 : 242,654.70 = 105,782.60 : x
  2. Step 2: Convert to fraction form
    161,769.80/242,654.70 = 105,782.60/x
  3. Step 3: Cross multiply
    161,769.80x = 242,654.70 × 105,782.60
  4. Step 4: Simplify right side
    161,769.80x = 25,668,645,068.22
  5. Step 5: Solve for x
    x = 25,668,645,068.22/161,769.80
  6. Step 6: Final answer
    x = 158,673.90

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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.