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Finding the Fourth Proportional to 203,688.50, 281,090.14 and 114,264.50

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Solution

The fourth proportional to 203,688.50, 281,090.14 and 114,264.50 is: 157,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,688.50 : 281,090.14 = 114,264.50 : x
  2. Step 2: Convert to fraction form
    203,688.50/281,090.14 = 114,264.50/x
  3. Step 3: Cross multiply
    203,688.50x = 281,090.14 × 114,264.50
  4. Step 4: Simplify right side
    203,688.50x = 32,118,624,302.03
  5. Step 5: Solve for x
    x = 32,118,624,302.03/203,688.50
  6. Step 6: Final answer
    x = 157,685.02

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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.