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Finding the Fourth Proportional to 295,256.95, 407,352.76 and 166,169.28

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Solution

The fourth proportional to 295,256.95, 407,352.76 and 166,169.28 is: 229,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,256.95 : 407,352.76 = 166,169.28 : x
  2. Step 2: Convert to fraction form
    295,256.95/407,352.76 = 166,169.28/x
  3. Step 3: Cross multiply
    295,256.95x = 407,352.76 × 166,169.28
  4. Step 4: Simplify right side
    295,256.95x = 67,689,514,835.21
  5. Step 5: Solve for x
    x = 67,689,514,835.21/295,256.95
  6. Step 6: Final answer
    x = 229,256.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.