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Finding the Fourth Proportional to 107,752.86, 161,713.53 and 74,705.67

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Solution

The fourth proportional to 107,752.86, 161,713.53 and 74,705.67 is: 112,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,752.86 : 161,713.53 = 74,705.67 : x
  2. Step 2: Convert to fraction form
    107,752.86/161,713.53 = 74,705.67/x
  3. Step 3: Cross multiply
    107,752.86x = 161,713.53 × 74,705.67
  4. Step 4: Simplify right side
    107,752.86x = 12,080,917,606.72
  5. Step 5: Solve for x
    x = 12,080,917,606.72/107,752.86
  6. Step 6: Final answer
    x = 112,116.91

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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.