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Finding the Fourth Proportional to 76,222, 105,189.60 and 44,385.76

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Solution

The fourth proportional to 76,222, 105,189.60 and 44,385.76 is: 61,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,222 : 105,189.60 = 44,385.76 : x
  2. Step 2: Convert to fraction form
    76,222/105,189.60 = 44,385.76/x
  3. Step 3: Cross multiply
    76,222x = 105,189.60 × 44,385.76
  4. Step 4: Simplify right side
    76,222x = 4,668,920,340.10
  5. Step 5: Solve for x
    x = 4,668,920,340.10/76,222
  6. Step 6: Final answer
    x = 61,254.24

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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.