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Finding the Fourth Proportional to 149,718.38, 206,646.11 and 98,740.32

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Solution

The fourth proportional to 149,718.38, 206,646.11 and 98,740.32 is: 136,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,718.38 : 206,646.11 = 98,740.32 : x
  2. Step 2: Convert to fraction form
    149,718.38/206,646.11 = 98,740.32/x
  3. Step 3: Cross multiply
    149,718.38x = 206,646.11 × 98,740.32
  4. Step 4: Simplify right side
    149,718.38x = 20,404,303,028.16
  5. Step 5: Solve for x
    x = 20,404,303,028.16/149,718.38
  6. Step 6: Final answer
    x = 136,284.56

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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.