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Finding the Fourth Proportional to 337,886.64, 506,846.80 and 101,206.77

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Solution

The fourth proportional to 337,886.64, 506,846.80 and 101,206.77 is: 151,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,886.64 : 506,846.80 = 101,206.77 : x
  2. Step 2: Convert to fraction form
    337,886.64/506,846.80 = 101,206.77/x
  3. Step 3: Cross multiply
    337,886.64x = 506,846.80 × 101,206.77
  4. Step 4: Simplify right side
    337,886.64x = 51,296,325,738.67
  5. Step 5: Solve for x
    x = 51,296,325,738.67/337,886.64
  6. Step 6: Final answer
    x = 151,815.19

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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.