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Finding the Fourth Proportional to 270,493.34, 405,776.93 and 112,684.88

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Solution

The fourth proportional to 270,493.34, 405,776.93 and 112,684.88 is: 169,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,493.34 : 405,776.93 = 112,684.88 : x
  2. Step 2: Convert to fraction form
    270,493.34/405,776.93 = 112,684.88/x
  3. Step 3: Cross multiply
    270,493.34x = 405,776.93 × 112,684.88
  4. Step 4: Simplify right side
    270,493.34x = 45,724,922,071.51
  5. Step 5: Solve for x
    x = 45,724,922,071.51/270,493.34
  6. Step 6: Final answer
    x = 169,042.69

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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.