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Finding the Fourth Proportional to 207,214.56, 285,929.19 and 116,567.46

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Solution

The fourth proportional to 207,214.56, 285,929.19 and 116,567.46 is: 160,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,214.56 : 285,929.19 = 116,567.46 : x
  2. Step 2: Convert to fraction form
    207,214.56/285,929.19 = 116,567.46/x
  3. Step 3: Cross multiply
    207,214.56x = 285,929.19 × 116,567.46
  4. Step 4: Simplify right side
    207,214.56x = 33,330,039,418.16
  5. Step 5: Solve for x
    x = 33,330,039,418.16/207,214.56
  6. Step 6: Final answer
    x = 160,847.96

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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.