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Finding the Fourth Proportional to 291,713.38, 437,643.88 and 81,351.32

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Solution

The fourth proportional to 291,713.38, 437,643.88 and 81,351.32 is: 122,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,713.38 : 437,643.88 = 81,351.32 : x
  2. Step 2: Convert to fraction form
    291,713.38/437,643.88 = 81,351.32/x
  3. Step 3: Cross multiply
    291,713.38x = 437,643.88 × 81,351.32
  4. Step 4: Simplify right side
    291,713.38x = 35,602,907,327.92
  5. Step 5: Solve for x
    x = 35,602,907,327.92/291,713.38
  6. Step 6: Final answer
    x = 122,047.56

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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.