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Finding the Fourth Proportional to 213,277.85, 319,729.36 and 87,024.41

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Solution

The fourth proportional to 213,277.85, 319,729.36 and 87,024.41 is: 130,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277.85 : 319,729.36 = 87,024.41 : x
  2. Step 2: Convert to fraction form
    213,277.85/319,729.36 = 87,024.41/x
  3. Step 3: Cross multiply
    213,277.85x = 319,729.36 × 87,024.41
  4. Step 4: Simplify right side
    213,277.85x = 27,824,258,913.68
  5. Step 5: Solve for x
    x = 27,824,258,913.68/213,277.85
  6. Step 6: Final answer
    x = 130,460.14

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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.