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Finding the Fourth Proportional to 295,168.86, 442,989.20 and 153,054.63

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Solution

The fourth proportional to 295,168.86, 442,989.20 and 153,054.63 is: 229,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,168.86 : 442,989.20 = 153,054.63 : x
  2. Step 2: Convert to fraction form
    295,168.86/442,989.20 = 153,054.63/x
  3. Step 3: Cross multiply
    295,168.86x = 442,989.20 × 153,054.63
  4. Step 4: Simplify right side
    295,168.86x = 67,801,545,119.78
  5. Step 5: Solve for x
    x = 67,801,545,119.78/295,168.86
  6. Step 6: Final answer
    x = 229,704.27

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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.