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Finding the Fourth Proportional to 76,200.36, 105,156.36 and 42,208.83

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Solution

The fourth proportional to 76,200.36, 105,156.36 and 42,208.83 is: 58,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200.36 : 105,156.36 = 42,208.83 : x
  2. Step 2: Convert to fraction form
    76,200.36/105,156.36 = 42,208.83/x
  3. Step 3: Cross multiply
    76,200.36x = 105,156.36 × 42,208.83
  4. Step 4: Simplify right side
    76,200.36x = 4,438,526,922.66
  5. Step 5: Solve for x
    x = 4,438,526,922.66/76,200.36
  6. Step 6: Final answer
    x = 58,248.11

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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.