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Finding the Fourth Proportional to 105,052.96, 144,967.16 and 59,724.64

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Solution

The fourth proportional to 105,052.96, 144,967.16 and 59,724.64 is: 82,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,052.96 : 144,967.16 = 59,724.64 : x
  2. Step 2: Convert to fraction form
    105,052.96/144,967.16 = 59,724.64/x
  3. Step 3: Cross multiply
    105,052.96x = 144,967.16 × 59,724.64
  4. Step 4: Simplify right side
    105,052.96x = 8,658,111,442.82
  5. Step 5: Solve for x
    x = 8,658,111,442.82/105,052.96
  6. Step 6: Final answer
    x = 82,416.63

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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.