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Finding the Fourth Proportional to 114,339.58, 157,821.96 and 74,051.80

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Solution

The fourth proportional to 114,339.58, 157,821.96 and 74,051.80 is: 102,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,339.58 : 157,821.96 = 74,051.80 : x
  2. Step 2: Convert to fraction form
    114,339.58/157,821.96 = 74,051.80/x
  3. Step 3: Cross multiply
    114,339.58x = 157,821.96 × 74,051.80
  4. Step 4: Simplify right side
    114,339.58x = 11,687,000,217.53
  5. Step 5: Solve for x
    x = 11,687,000,217.53/114,339.58
  6. Step 6: Final answer
    x = 102,213.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.