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Finding the Fourth Proportional to 295,592.80, 443,302.80 and 106,031.20

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Solution

The fourth proportional to 295,592.80, 443,302.80 and 106,031.20 is: 159,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,592.80 : 443,302.80 = 106,031.20 : x
  2. Step 2: Convert to fraction form
    295,592.80/443,302.80 = 106,031.20/x
  3. Step 3: Cross multiply
    295,592.80x = 443,302.80 × 106,031.20
  4. Step 4: Simplify right side
    295,592.80x = 47,003,927,847.36
  5. Step 5: Solve for x
    x = 47,003,927,847.36/295,592.80
  6. Step 6: Final answer
    x = 159,015.81

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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.