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Finding the Fourth Proportional to 117,643.86, 176,502.87 and 42,744.06

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Solution

The fourth proportional to 117,643.86, 176,502.87 and 42,744.06 is: 64,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.86 : 176,502.87 = 42,744.06 : x
  2. Step 2: Convert to fraction form
    117,643.86/176,502.87 = 42,744.06/x
  3. Step 3: Cross multiply
    117,643.86x = 176,502.87 × 42,744.06
  4. Step 4: Simplify right side
    117,643.86x = 7,544,449,265.45
  5. Step 5: Solve for x
    x = 7,544,449,265.45/117,643.86
  6. Step 6: Final answer
    x = 64,129.56

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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.