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Finding the Fourth Proportional to 114,300, 157,697.55 and 74,044.62

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Solution

The fourth proportional to 114,300, 157,697.55 and 74,044.62 is: 102,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,300 : 157,697.55 = 74,044.62 : x
  2. Step 2: Convert to fraction form
    114,300/157,697.55 = 74,044.62/x
  3. Step 3: Cross multiply
    114,300x = 157,697.55 × 74,044.62
  4. Step 4: Simplify right side
    114,300x = 11,676,655,164.68
  5. Step 5: Solve for x
    x = 11,676,655,164.68/114,300
  6. Step 6: Final answer
    x = 102,157.96

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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.