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Finding the Fourth Proportional to 209,002.32, 288,441 and 118,374.12

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Solution

The fourth proportional to 209,002.32, 288,441 and 118,374.12 is: 163,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,002.32 : 288,441 = 118,374.12 : x
  2. Step 2: Convert to fraction form
    209,002.32/288,441 = 118,374.12/x
  3. Step 3: Cross multiply
    209,002.32x = 288,441 × 118,374.12
  4. Step 4: Simplify right side
    209,002.32x = 34,143,949,546.92
  5. Step 5: Solve for x
    x = 34,143,949,546.92/209,002.32
  6. Step 6: Final answer
    x = 163,366.37

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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.