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Finding the Fourth Proportional to 291,537.52, 437,433.35 and 102,133.75

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Solution

The fourth proportional to 291,537.52, 437,433.35 and 102,133.75 is: 153,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,537.52 : 437,433.35 = 102,133.75 : x
  2. Step 2: Convert to fraction form
    291,537.52/437,433.35 = 102,133.75/x
  3. Step 3: Cross multiply
    291,537.52x = 437,433.35 × 102,133.75
  4. Step 4: Simplify right side
    291,537.52x = 44,676,708,410.56
  5. Step 5: Solve for x
    x = 44,676,708,410.56/291,537.52
  6. Step 6: Final answer
    x = 153,245.14

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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.