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Finding the Fourth Proportional to 209,158.52, 288,637.97 and 118,531.76

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Solution

The fourth proportional to 209,158.52, 288,637.97 and 118,531.76 is: 163,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,158.52 : 288,637.97 = 118,531.76 : x
  2. Step 2: Convert to fraction form
    209,158.52/288,637.97 = 118,531.76/x
  3. Step 3: Cross multiply
    209,158.52x = 288,637.97 × 118,531.76
  4. Step 4: Simplify right side
    209,158.52x = 34,212,764,551.08
  5. Step 5: Solve for x
    x = 34,212,764,551.08/209,158.52
  6. Step 6: Final answer
    x = 163,573.38

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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.