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Finding the Fourth Proportional to 105,384.46, 145,364.06 and 73,541.74

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Solution

The fourth proportional to 105,384.46, 145,364.06 and 73,541.74 is: 101,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,384.46 : 145,364.06 = 73,541.74 : x
  2. Step 2: Convert to fraction form
    105,384.46/145,364.06 = 73,541.74/x
  3. Step 3: Cross multiply
    105,384.46x = 145,364.06 × 73,541.74
  4. Step 4: Simplify right side
    105,384.46x = 10,690,325,905.86
  5. Step 5: Solve for x
    x = 10,690,325,905.86/105,384.46
  6. Step 6: Final answer
    x = 101,441.20

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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.