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Finding the Fourth Proportional to 76,222.40, 105,178.37 and 42,222.38

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Solution

The fourth proportional to 76,222.40, 105,178.37 and 42,222.38 is: 58,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,222.40 : 105,178.37 = 42,222.38 : x
  2. Step 2: Convert to fraction form
    76,222.40/105,178.37 = 42,222.38/x
  3. Step 3: Cross multiply
    76,222.40x = 105,178.37 × 42,222.38
  4. Step 4: Simplify right side
    76,222.40x = 4,440,880,368.92
  5. Step 5: Solve for x
    x = 4,440,880,368.92/76,222.40
  6. Step 6: Final answer
    x = 58,262.15

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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.