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Finding the Fourth Proportional to 288,844.56, 433,262.52 and 101,857.68

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Solution

The fourth proportional to 288,844.56, 433,262.52 and 101,857.68 is: 152,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,844.56 : 433,262.52 = 101,857.68 : x
  2. Step 2: Convert to fraction form
    288,844.56/433,262.52 = 101,857.68/x
  3. Step 3: Cross multiply
    288,844.56x = 433,262.52 × 101,857.68
  4. Step 4: Simplify right side
    288,844.56x = 44,131,115,118.15
  5. Step 5: Solve for x
    x = 44,131,115,118.15/288,844.56
  6. Step 6: Final answer
    x = 152,785.00

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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.