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Finding the Fourth Proportional to 295,973.76, 443,765.52 and 106,339.08

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Solution

The fourth proportional to 295,973.76, 443,765.52 and 106,339.08 is: 159,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,973.76 : 443,765.52 = 106,339.08 : x
  2. Step 2: Convert to fraction form
    295,973.76/443,765.52 = 106,339.08/x
  3. Step 3: Cross multiply
    295,973.76x = 443,765.52 × 106,339.08
  4. Step 4: Simplify right side
    295,973.76x = 47,189,617,132.52
  5. Step 5: Solve for x
    x = 47,189,617,132.52/295,973.76
  6. Step 6: Final answer
    x = 159,438.52

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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.