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Finding the Fourth Proportional to 76,211.65, 105,178.53 and 42,230.80

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Solution

The fourth proportional to 76,211.65, 105,178.53 and 42,230.80 is: 58,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.65 : 105,178.53 = 42,230.80 : x
  2. Step 2: Convert to fraction form
    76,211.65/105,178.53 = 42,230.80/x
  3. Step 3: Cross multiply
    76,211.65x = 105,178.53 × 42,230.80
  4. Step 4: Simplify right side
    76,211.65x = 4,441,772,938.83
  5. Step 5: Solve for x
    x = 4,441,772,938.83/76,211.65
  6. Step 6: Final answer
    x = 58,282.08

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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.