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Finding the Fourth Proportional to 201,728.40, 278,421.48 and 116,892.24

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Solution

The fourth proportional to 201,728.40, 278,421.48 and 116,892.24 is: 161,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,728.40 : 278,421.48 = 116,892.24 : x
  2. Step 2: Convert to fraction form
    201,728.40/278,421.48 = 116,892.24/x
  3. Step 3: Cross multiply
    201,728.40x = 278,421.48 × 116,892.24
  4. Step 4: Simplify right side
    201,728.40x = 32,545,310,461.32
  5. Step 5: Solve for x
    x = 32,545,310,461.32/201,728.40
  6. Step 6: Final answer
    x = 161,332.32

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