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Finding the Fourth Proportional to 207,985.40, 311,978.10 and 102,820.60

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Solution

The fourth proportional to 207,985.40, 311,978.10 and 102,820.60 is: 154,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,985.40 : 311,978.10 = 102,820.60 : x
  2. Step 2: Convert to fraction form
    207,985.40/311,978.10 = 102,820.60/x
  3. Step 3: Cross multiply
    207,985.40x = 311,978.10 × 102,820.60
  4. Step 4: Simplify right side
    207,985.40x = 32,077,775,428.86
  5. Step 5: Solve for x
    x = 32,077,775,428.86/207,985.40
  6. Step 6: Final answer
    x = 154,230.90

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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.