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Finding the Fourth Proportional to 146,078.96, 218,541.96 and 110,642.40

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Solution

The fourth proportional to 146,078.96, 218,541.96 and 110,642.40 is: 165,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,078.96 : 218,541.96 = 110,642.40 : x
  2. Step 2: Convert to fraction form
    146,078.96/218,541.96 = 110,642.40/x
  3. Step 3: Cross multiply
    146,078.96x = 218,541.96 × 110,642.40
  4. Step 4: Simplify right side
    146,078.96x = 24,180,006,955.10
  5. Step 5: Solve for x
    x = 24,180,006,955.10/146,078.96
  6. Step 6: Final answer
    x = 165,526.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.