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Finding the Fourth Proportional to 295,148.52, 407,303.06 and 167,824.10

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Solution

The fourth proportional to 295,148.52, 407,303.06 and 167,824.10 is: 231,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,148.52 : 407,303.06 = 167,824.10 : x
  2. Step 2: Convert to fraction form
    295,148.52/407,303.06 = 167,824.10/x
  3. Step 3: Cross multiply
    295,148.52x = 407,303.06 × 167,824.10
  4. Step 4: Simplify right side
    295,148.52x = 68,355,269,650.88
  5. Step 5: Solve for x
    x = 68,355,269,650.88/295,148.52
  6. Step 6: Final answer
    x = 231,596.18

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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.