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Finding the Fourth Proportional to 173,635.10, 260,063.85 and 142,531.10

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Solution

The fourth proportional to 173,635.10, 260,063.85 and 142,531.10 is: 213,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,635.10 : 260,063.85 = 142,531.10 : x
  2. Step 2: Convert to fraction form
    173,635.10/260,063.85 = 142,531.10/x
  3. Step 3: Cross multiply
    173,635.10x = 260,063.85 × 142,531.10
  4. Step 4: Simplify right side
    173,635.10x = 37,067,186,610.74
  5. Step 5: Solve for x
    x = 37,067,186,610.74/173,635.10
  6. Step 6: Final answer
    x = 213,477.50

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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.