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Finding the Fourth Proportional to 208,087.72, 287,164.74 and 117,461.80

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Solution

The fourth proportional to 208,087.72, 287,164.74 and 117,461.80 is: 162,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,087.72 : 287,164.74 = 117,461.80 : x
  2. Step 2: Convert to fraction form
    208,087.72/287,164.74 = 117,461.80/x
  3. Step 3: Cross multiply
    208,087.72x = 287,164.74 × 117,461.80
  4. Step 4: Simplify right side
    208,087.72x = 33,730,887,256.93
  5. Step 5: Solve for x
    x = 33,730,887,256.93/208,087.72
  6. Step 6: Final answer
    x = 162,099.36

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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.