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Finding the Fourth Proportional to 585,180, 877,770.36 and 141,948

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Solution

The fourth proportional to 585,180, 877,770.36 and 141,948 is: 212,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,180 : 877,770.36 = 141,948 : x
  2. Step 2: Convert to fraction form
    585,180/877,770.36 = 141,948/x
  3. Step 3: Cross multiply
    585,180x = 877,770.36 × 141,948
  4. Step 4: Simplify right side
    585,180x = 124,597,747,061.28
  5. Step 5: Solve for x
    x = 124,597,747,061.28/585,180
  6. Step 6: Final answer
    x = 212,922.09

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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.