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Finding the Fourth Proportional to 310,749.48, 466,138.80 and 111,164.40

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Solution

The fourth proportional to 310,749.48, 466,138.80 and 111,164.40 is: 166,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,749.48 : 466,138.80 = 111,164.40 : x
  2. Step 2: Convert to fraction form
    310,749.48/466,138.80 = 111,164.40/x
  3. Step 3: Cross multiply
    310,749.48x = 466,138.80 × 111,164.40
  4. Step 4: Simplify right side
    310,749.48x = 51,818,040,018.72
  5. Step 5: Solve for x
    x = 51,818,040,018.72/310,749.48
  6. Step 6: Final answer
    x = 166,751.82

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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.