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Finding the Fourth Proportional to 191,798.40, 264,685.28 and 106,906.32

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Solution

The fourth proportional to 191,798.40, 264,685.28 and 106,906.32 is: 147,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,798.40 : 264,685.28 = 106,906.32 : x
  2. Step 2: Convert to fraction form
    191,798.40/264,685.28 = 106,906.32/x
  3. Step 3: Cross multiply
    191,798.40x = 264,685.28 × 106,906.32
  4. Step 4: Simplify right side
    191,798.40x = 28,296,529,242.97
  5. Step 5: Solve for x
    x = 28,296,529,242.97/191,798.40
  6. Step 6: Final answer
    x = 147,532.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.