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Finding the Fourth Proportional to 121,830, 182,771.88 and 51,769.20

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Solution

The fourth proportional to 121,830, 182,771.88 and 51,769.20 is: 77,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,830 : 182,771.88 = 51,769.20 : x
  2. Step 2: Convert to fraction form
    121,830/182,771.88 = 51,769.20/x
  3. Step 3: Cross multiply
    121,830x = 182,771.88 × 51,769.20
  4. Step 4: Simplify right side
    121,830x = 9,461,954,010.10
  5. Step 5: Solve for x
    x = 9,461,954,010.10/121,830
  6. Step 6: Final answer
    x = 77,665.22

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