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Finding the Fourth Proportional to 550,873.16, 826,214.42 and 146,068.04

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Solution

The fourth proportional to 550,873.16, 826,214.42 and 146,068.04 is: 219,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,873.16 : 826,214.42 = 146,068.04 : x
  2. Step 2: Convert to fraction form
    550,873.16/826,214.42 = 146,068.04/x
  3. Step 3: Cross multiply
    550,873.16x = 826,214.42 × 146,068.04
  4. Step 4: Simplify right side
    550,873.16x = 120,683,520,949.14
  5. Step 5: Solve for x
    x = 120,683,520,949.14/550,873.16
  6. Step 6: Final answer
    x = 219,076.79

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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.