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Finding the Fourth Proportional to 256,761.10, 385,161.70 and 85,983.46

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Solution

The fourth proportional to 256,761.10, 385,161.70 and 85,983.46 is: 128,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,761.10 : 385,161.70 = 85,983.46 : x
  2. Step 2: Convert to fraction form
    256,761.10/385,161.70 = 85,983.46/x
  3. Step 3: Cross multiply
    256,761.10x = 385,161.70 × 85,983.46
  4. Step 4: Simplify right side
    256,761.10x = 33,117,533,699.67
  5. Step 5: Solve for x
    x = 33,117,533,699.67/256,761.10
  6. Step 6: Final answer
    x = 128,981.90

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1.5x scale

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.