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Finding the Fourth Proportional to 171,213.60, 256,820.40 and 77,901.60

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Solution

The fourth proportional to 171,213.60, 256,820.40 and 77,901.60 is: 116,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,213.60 : 256,820.40 = 77,901.60 : x
  2. Step 2: Convert to fraction form
    171,213.60/256,820.40 = 77,901.60/x
  3. Step 3: Cross multiply
    171,213.60x = 256,820.40 × 77,901.60
  4. Step 4: Simplify right side
    171,213.60x = 20,006,720,072.64
  5. Step 5: Solve for x
    x = 20,006,720,072.64/171,213.60
  6. Step 6: Final answer
    x = 116,852.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.