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Finding the Fourth Proportional to 212,008.15, 317,887.69 and 85,652.40

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Solution

The fourth proportional to 212,008.15, 317,887.69 and 85,652.40 is: 128,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,008.15 : 317,887.69 = 85,652.40 : x
  2. Step 2: Convert to fraction form
    212,008.15/317,887.69 = 85,652.40/x
  3. Step 3: Cross multiply
    212,008.15x = 317,887.69 × 85,652.40
  4. Step 4: Simplify right side
    212,008.15x = 27,227,844,717.50
  5. Step 5: Solve for x
    x = 27,227,844,717.50/212,008.15
  6. Step 6: Final answer
    x = 128,428.29

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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.