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Finding the Fourth Proportional to 146,516.40, 219,745.80 and 48,020.40

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Solution

The fourth proportional to 146,516.40, 219,745.80 and 48,020.40 is: 72,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,516.40 : 219,745.80 = 48,020.40 : x
  2. Step 2: Convert to fraction form
    146,516.40/219,745.80 = 48,020.40/x
  3. Step 3: Cross multiply
    146,516.40x = 219,745.80 × 48,020.40
  4. Step 4: Simplify right side
    146,516.40x = 10,552,281,214.32
  5. Step 5: Solve for x
    x = 10,552,281,214.32/146,516.40
  6. Step 6: Final answer
    x = 72,021.16

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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.