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Finding the Fourth Proportional to 208,966.68, 288,377.37 and 118,320.22

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Solution

The fourth proportional to 208,966.68, 288,377.37 and 118,320.22 is: 163,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,966.68 : 288,377.37 = 118,320.22 : x
  2. Step 2: Convert to fraction form
    208,966.68/288,377.37 = 118,320.22/x
  3. Step 3: Cross multiply
    208,966.68x = 288,377.37 × 118,320.22
  4. Step 4: Simplify right side
    208,966.68x = 34,120,874,221.89
  5. Step 5: Solve for x
    x = 34,120,874,221.89/208,966.68
  6. Step 6: Final answer
    x = 163,283.80

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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.