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Finding the Fourth Proportional to 208,159.56, 287,244.20 and 117,524.48

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Solution

The fourth proportional to 208,159.56, 287,244.20 and 117,524.48 is: 162,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,159.56 : 287,244.20 = 117,524.48 : x
  2. Step 2: Convert to fraction form
    208,159.56/287,244.20 = 117,524.48/x
  3. Step 3: Cross multiply
    208,159.56x = 287,244.20 × 117,524.48
  4. Step 4: Simplify right side
    208,159.56x = 33,758,223,214.17
  5. Step 5: Solve for x
    x = 33,758,223,214.17/208,159.56
  6. Step 6: Final answer
    x = 162,174.74

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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.