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Finding the Fourth Proportional to 191,978.70, 287,622.45 and 164,330.70

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Solution

The fourth proportional to 191,978.70, 287,622.45 and 164,330.70 is: 246,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,978.70 : 287,622.45 = 164,330.70 : x
  2. Step 2: Convert to fraction form
    191,978.70/287,622.45 = 164,330.70/x
  3. Step 3: Cross multiply
    191,978.70x = 287,622.45 × 164,330.70
  4. Step 4: Simplify right side
    191,978.70x = 47,265,198,544.22
  5. Step 5: Solve for x
    x = 47,265,198,544.22/191,978.70
  6. Step 6: Final answer
    x = 246,200.22

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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.