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Finding the Fourth Proportional to 121,424.80, 182,104.80 and 42,530.80

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Solution

The fourth proportional to 121,424.80, 182,104.80 and 42,530.80 is: 63,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,424.80 : 182,104.80 = 42,530.80 : x
  2. Step 2: Convert to fraction form
    121,424.80/182,104.80 = 42,530.80/x
  3. Step 3: Cross multiply
    121,424.80x = 182,104.80 × 42,530.80
  4. Step 4: Simplify right side
    121,424.80x = 7,745,062,827.84
  5. Step 5: Solve for x
    x = 7,745,062,827.84/121,424.80
  6. Step 6: Final answer
    x = 63,784.85

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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.