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Finding the Fourth Proportional to 135,642.94, 203,398.80 and 46,865.32

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Solution

The fourth proportional to 135,642.94, 203,398.80 and 46,865.32 is: 70,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.94 : 203,398.80 = 46,865.32 : x
  2. Step 2: Convert to fraction form
    135,642.94/203,398.80 = 46,865.32/x
  3. Step 3: Cross multiply
    135,642.94x = 203,398.80 × 46,865.32
  4. Step 4: Simplify right side
    135,642.94x = 9,532,349,849.62
  5. Step 5: Solve for x
    x = 9,532,349,849.62/135,642.94
  6. Step 6: Final answer
    x = 70,275.31

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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.