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Finding the Fourth Proportional to 149,070.38, 205,784.31 and 98,109.88

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Solution

The fourth proportional to 149,070.38, 205,784.31 and 98,109.88 is: 135,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,070.38 : 205,784.31 = 98,109.88 : x
  2. Step 2: Convert to fraction form
    149,070.38/205,784.31 = 98,109.88/x
  3. Step 3: Cross multiply
    149,070.38x = 205,784.31 × 98,109.88
  4. Step 4: Simplify right side
    149,070.38x = 20,189,473,959.98
  5. Step 5: Solve for x
    x = 20,189,473,959.98/149,070.38
  6. Step 6: Final answer
    x = 135,435.85

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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.