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Finding the Fourth Proportional to 312,057.36, 468,134.64 and 101,646.36

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Solution

The fourth proportional to 312,057.36, 468,134.64 and 101,646.36 is: 152,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,057.36 : 468,134.64 = 101,646.36 : x
  2. Step 2: Convert to fraction form
    312,057.36/468,134.64 = 101,646.36/x
  3. Step 3: Cross multiply
    312,057.36x = 468,134.64 × 101,646.36
  4. Step 4: Simplify right side
    312,057.36x = 47,584,182,145.91
  5. Step 5: Solve for x
    x = 47,584,182,145.91/312,057.36
  6. Step 6: Final answer
    x = 152,485.37

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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.