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Finding the Fourth Proportional to 208,151, 287,247.84 and 112,657.70

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Solution

The fourth proportional to 208,151, 287,247.84 and 112,657.70 is: 155,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,151 : 287,247.84 = 112,657.70 : x
  2. Step 2: Convert to fraction form
    208,151/287,247.84 = 112,657.70/x
  3. Step 3: Cross multiply
    208,151x = 287,247.84 × 112,657.70
  4. Step 4: Simplify right side
    208,151x = 32,360,680,984.37
  5. Step 5: Solve for x
    x = 32,360,680,984.37/208,151
  6. Step 6: Final answer
    x = 155,467.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.