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Finding the Fourth Proportional to 105,144.20, 145,097.12 and 59,821.20

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Solution

The fourth proportional to 105,144.20, 145,097.12 and 59,821.20 is: 82,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,144.20 : 145,097.12 = 59,821.20 : x
  2. Step 2: Convert to fraction form
    105,144.20/145,097.12 = 59,821.20/x
  3. Step 3: Cross multiply
    105,144.20x = 145,097.12 × 59,821.20
  4. Step 4: Simplify right side
    105,144.20x = 8,679,883,535.84
  5. Step 5: Solve for x
    x = 8,679,883,535.84/105,144.20
  6. Step 6: Final answer
    x = 82,552.19

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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.