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Finding the Fourth Proportional to 312,020.64, 467,941.68 and 101,676.96

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Solution

The fourth proportional to 312,020.64, 467,941.68 and 101,676.96 is: 152,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,020.64 : 467,941.68 = 101,676.96 : x
  2. Step 2: Convert to fraction form
    312,020.64/467,941.68 = 101,676.96/x
  3. Step 3: Cross multiply
    312,020.64x = 467,941.68 × 101,676.96
  4. Step 4: Simplify right side
    312,020.64x = 47,578,887,479.69
  5. Step 5: Solve for x
    x = 47,578,887,479.69/312,020.64
  6. Step 6: Final answer
    x = 152,486.35

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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.