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Finding the Fourth Proportional to 295,876.80, 443,815.20 and 146,140.20

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Solution

The fourth proportional to 295,876.80, 443,815.20 and 146,140.20 is: 219,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,876.80 : 443,815.20 = 146,140.20 : x
  2. Step 2: Convert to fraction form
    295,876.80/443,815.20 = 146,140.20/x
  3. Step 3: Cross multiply
    295,876.80x = 443,815.20 × 146,140.20
  4. Step 4: Simplify right side
    295,876.80x = 64,859,242,091.04
  5. Step 5: Solve for x
    x = 64,859,242,091.04/295,876.80
  6. Step 6: Final answer
    x = 219,210.30

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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.