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Finding the Fourth Proportional to 295,748.64, 408,134.16 and 161,615.52

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Solution

The fourth proportional to 295,748.64, 408,134.16 and 161,615.52 is: 223,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,748.64 : 408,134.16 = 161,615.52 : x
  2. Step 2: Convert to fraction form
    295,748.64/408,134.16 = 161,615.52/x
  3. Step 3: Cross multiply
    295,748.64x = 408,134.16 × 161,615.52
  4. Step 4: Simplify right side
    295,748.64x = 65,960,814,498.16
  5. Step 5: Solve for x
    x = 65,960,814,498.16/295,748.64
  6. Step 6: Final answer
    x = 223,029.98

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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.