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Finding the Fourth Proportional to 148,700.16, 205,204.32 and 81,632.16

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Solution

The fourth proportional to 148,700.16, 205,204.32 and 81,632.16 is: 112,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,700.16 : 205,204.32 = 81,632.16 : x
  2. Step 2: Convert to fraction form
    148,700.16/205,204.32 = 81,632.16/x
  3. Step 3: Cross multiply
    148,700.16x = 205,204.32 × 81,632.16
  4. Step 4: Simplify right side
    148,700.16x = 16,751,271,882.93
  5. Step 5: Solve for x
    x = 16,751,271,882.93/148,700.16
  6. Step 6: Final answer
    x = 112,651.34

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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.