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Finding the Fourth Proportional to 133,911.10, 200,477.85 and 130,023.10

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Solution

The fourth proportional to 133,911.10, 200,477.85 and 130,023.10 is: 194,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911.10 : 200,477.85 = 130,023.10 : x
  2. Step 2: Convert to fraction form
    133,911.10/200,477.85 = 130,023.10/x
  3. Step 3: Cross multiply
    133,911.10x = 200,477.85 × 130,023.10
  4. Step 4: Simplify right side
    133,911.10x = 26,066,751,538.34
  5. Step 5: Solve for x
    x = 26,066,751,538.34/133,911.10
  6. Step 6: Final answer
    x = 194,657.14

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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.