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Finding the Fourth Proportional to 208,059.84, 287,121.46 and 117,445.24

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Solution

The fourth proportional to 208,059.84, 287,121.46 and 117,445.24 is: 162,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.84 : 287,121.46 = 117,445.24 : x
  2. Step 2: Convert to fraction form
    208,059.84/287,121.46 = 117,445.24/x
  3. Step 3: Cross multiply
    208,059.84x = 287,121.46 × 117,445.24
  4. Step 4: Simplify right side
    208,059.84x = 33,721,049,064.35
  5. Step 5: Solve for x
    x = 33,721,049,064.35/208,059.84
  6. Step 6: Final answer
    x = 162,073.80

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1.5x scale

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.