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Finding the Fourth Proportional to 295,595.80, 443,307.30 and 106,034.20

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Solution

The fourth proportional to 295,595.80, 443,307.30 and 106,034.20 is: 159,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,595.80 : 443,307.30 = 106,034.20 : x
  2. Step 2: Convert to fraction form
    295,595.80/443,307.30 = 106,034.20/x
  3. Step 3: Cross multiply
    295,595.80x = 443,307.30 × 106,034.20
  4. Step 4: Simplify right side
    295,595.80x = 47,005,734,909.66
  5. Step 5: Solve for x
    x = 47,005,734,909.66/295,595.80
  6. Step 6: Final answer
    x = 159,020.31

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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.