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Finding the Fourth Proportional to 173,541, 260,311.86 and 42,213

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Solution

The fourth proportional to 173,541, 260,311.86 and 42,213 is: 63,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,541 : 260,311.86 = 42,213 : x
  2. Step 2: Convert to fraction form
    173,541/260,311.86 = 42,213/x
  3. Step 3: Cross multiply
    173,541x = 260,311.86 × 42,213
  4. Step 4: Simplify right side
    173,541x = 10,988,544,546.18
  5. Step 5: Solve for x
    x = 10,988,544,546.18/173,541
  6. Step 6: Final answer
    x = 63,319.59

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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.