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Finding the Fourth Proportional to 135,374.58, 186,814.56 and 74,943.90

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Solution

The fourth proportional to 135,374.58, 186,814.56 and 74,943.90 is: 103,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,374.58 : 186,814.56 = 74,943.90 : x
  2. Step 2: Convert to fraction form
    135,374.58/186,814.56 = 74,943.90/x
  3. Step 3: Cross multiply
    135,374.58x = 186,814.56 × 74,943.90
  4. Step 4: Simplify right side
    135,374.58x = 14,000,611,703.18
  5. Step 5: Solve for x
    x = 14,000,611,703.18/135,374.58
  6. Step 6: Final answer
    x = 103,421.28

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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.