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Finding the Fourth Proportional to 254,046, 381,084.96 and 85,552.56

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Solution

The fourth proportional to 254,046, 381,084.96 and 85,552.56 is: 128,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,046 : 381,084.96 = 85,552.56 : x
  2. Step 2: Convert to fraction form
    254,046/381,084.96 = 85,552.56/x
  3. Step 3: Cross multiply
    254,046x = 381,084.96 × 85,552.56
  4. Step 4: Simplify right side
    254,046x = 32,602,793,905.50
  5. Step 5: Solve for x
    x = 32,602,793,905.50/254,046
  6. Step 6: Final answer
    x = 128,334.21

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Why These Related Problems?

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