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Finding the Fourth Proportional to 76,208.30, 105,159.39 and 42,215.84

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Solution

The fourth proportional to 76,208.30, 105,159.39 and 42,215.84 is: 58,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,208.30 : 105,159.39 = 42,215.84 : x
  2. Step 2: Convert to fraction form
    76,208.30/105,159.39 = 42,215.84/x
  3. Step 3: Cross multiply
    76,208.30x = 105,159.39 × 42,215.84
  4. Step 4: Simplify right side
    76,208.30x = 4,439,391,982.74
  5. Step 5: Solve for x
    x = 4,439,391,982.74/76,208.30
  6. Step 6: Final answer
    x = 58,253.39

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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.