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Finding the Fourth Proportional to 295,118.66, 407,263.80 and 167,802.05

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Solution

The fourth proportional to 295,118.66, 407,263.80 and 167,802.05 is: 231,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,118.66 : 407,263.80 = 167,802.05 : x
  2. Step 2: Convert to fraction form
    295,118.66/407,263.80 = 167,802.05/x
  3. Step 3: Cross multiply
    295,118.66x = 407,263.80 × 167,802.05
  4. Step 4: Simplify right side
    295,118.66x = 68,339,698,494.47
  5. Step 5: Solve for x
    x = 68,339,698,494.47/295,118.66
  6. Step 6: Final answer
    x = 231,566.85

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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.