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Finding the Fourth Proportional to 312,060.64, 468,001.60 and 101,716.96

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Solution

The fourth proportional to 312,060.64, 468,001.60 and 101,716.96 is: 152,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,060.64 : 468,001.60 = 101,716.96 : x
  2. Step 2: Convert to fraction form
    312,060.64/468,001.60 = 101,716.96/x
  3. Step 3: Cross multiply
    312,060.64x = 468,001.60 × 101,716.96
  4. Step 4: Simplify right side
    312,060.64x = 47,603,700,027.14
  5. Step 5: Solve for x
    x = 47,603,700,027.14/312,060.64
  6. Step 6: Final answer
    x = 152,546.31

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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.