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Finding the Fourth Proportional to 209,295.64, 288,809.22 and 116,163.82

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Solution

The fourth proportional to 209,295.64, 288,809.22 and 116,163.82 is: 160,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,295.64 : 288,809.22 = 116,163.82 : x
  2. Step 2: Convert to fraction form
    209,295.64/288,809.22 = 116,163.82/x
  3. Step 3: Cross multiply
    209,295.64x = 288,809.22 × 116,163.82
  4. Step 4: Simplify right side
    209,295.64x = 33,549,182,246.42
  5. Step 5: Solve for x
    x = 33,549,182,246.42/209,295.64
  6. Step 6: Final answer
    x = 160,295.66

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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.