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Finding the Fourth Proportional to 173,202, 259,810.56 and 54,882.06

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Solution

The fourth proportional to 173,202, 259,810.56 and 54,882.06 is: 82,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,202 : 259,810.56 = 54,882.06 : x
  2. Step 2: Convert to fraction form
    173,202/259,810.56 = 54,882.06/x
  3. Step 3: Cross multiply
    173,202x = 259,810.56 × 54,882.06
  4. Step 4: Simplify right side
    173,202x = 14,258,938,742.55
  5. Step 5: Solve for x
    x = 14,258,938,742.55/173,202
  6. Step 6: Final answer
    x = 82,325.49

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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.