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Finding the Fourth Proportional to 183,829.70, 275,744.55 and 164,802.80

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Solution

The fourth proportional to 183,829.70, 275,744.55 and 164,802.80 is: 247,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,829.70 : 275,744.55 = 164,802.80 : x
  2. Step 2: Convert to fraction form
    183,829.70/275,744.55 = 164,802.80/x
  3. Step 3: Cross multiply
    183,829.70x = 275,744.55 × 164,802.80
  4. Step 4: Simplify right side
    183,829.70x = 45,443,473,924.74
  5. Step 5: Solve for x
    x = 45,443,473,924.74/183,829.70
  6. Step 6: Final answer
    x = 247,204.20

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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.