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Finding the Fourth Proportional to 180,095.22, 248,519.04 and 99,522

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Solution

The fourth proportional to 180,095.22, 248,519.04 and 99,522 is: 137,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,095.22 : 248,519.04 = 99,522 : x
  2. Step 2: Convert to fraction form
    180,095.22/248,519.04 = 99,522/x
  3. Step 3: Cross multiply
    180,095.22x = 248,519.04 × 99,522
  4. Step 4: Simplify right side
    180,095.22x = 24,733,111,898.88
  5. Step 5: Solve for x
    x = 24,733,111,898.88/180,095.22
  6. Step 6: Final answer
    x = 137,333.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.