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Finding the Fourth Proportional to 135,655.92, 203,418.32 and 46,878.32

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Solution

The fourth proportional to 135,655.92, 203,418.32 and 46,878.32 is: 70,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,655.92 : 203,418.32 = 46,878.32 : x
  2. Step 2: Convert to fraction form
    135,655.92/203,418.32 = 46,878.32/x
  3. Step 3: Cross multiply
    135,655.92x = 203,418.32 × 46,878.32
  4. Step 4: Simplify right side
    135,655.92x = 9,535,909,098.82
  5. Step 5: Solve for x
    x = 9,535,909,098.82/135,655.92
  6. Step 6: Final answer
    x = 70,294.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.