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Finding the Fourth Proportional to 201,662.48, 278,263.34 and 116,763.14

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Solution

The fourth proportional to 201,662.48, 278,263.34 and 116,763.14 is: 161,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662.48 : 278,263.34 = 116,763.14 : x
  2. Step 2: Convert to fraction form
    201,662.48/278,263.34 = 116,763.14/x
  3. Step 3: Cross multiply
    201,662.48x = 278,263.34 × 116,763.14
  4. Step 4: Simplify right side
    201,662.48x = 32,490,901,325.29
  5. Step 5: Solve for x
    x = 32,490,901,325.29/201,662.48
  6. Step 6: Final answer
    x = 161,115.25

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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.