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Finding the Fourth Proportional to 105,795.46, 146,038.37 and 71,819.13

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Solution

The fourth proportional to 105,795.46, 146,038.37 and 71,819.13 is: 99,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,795.46 : 146,038.37 = 71,819.13 : x
  2. Step 2: Convert to fraction form
    105,795.46/146,038.37 = 71,819.13/x
  3. Step 3: Cross multiply
    105,795.46x = 146,038.37 × 71,819.13
  4. Step 4: Simplify right side
    105,795.46x = 10,488,348,320.92
  5. Step 5: Solve for x
    x = 10,488,348,320.92/105,795.46
  6. Step 6: Final answer
    x = 99,137.98

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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.