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Finding the Fourth Proportional to 76,178.68, 105,111.66 and 42,185.52

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Solution

The fourth proportional to 76,178.68, 105,111.66 and 42,185.52 is: 58,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178.68 : 105,111.66 = 42,185.52 : x
  2. Step 2: Convert to fraction form
    76,178.68/105,111.66 = 42,185.52/x
  3. Step 3: Cross multiply
    76,178.68x = 105,111.66 × 42,185.52
  4. Step 4: Simplify right side
    76,178.68x = 4,434,190,281.85
  5. Step 5: Solve for x
    x = 4,434,190,281.85/76,178.68
  6. Step 6: Final answer
    x = 58,207.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.