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Finding the Fourth Proportional to 295,033.82, 407,146.07 and 165,972.38

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Solution

The fourth proportional to 295,033.82, 407,146.07 and 165,972.38 is: 229,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,033.82 : 407,146.07 = 165,972.38 : x
  2. Step 2: Convert to fraction form
    295,033.82/407,146.07 = 165,972.38/x
  3. Step 3: Cross multiply
    295,033.82x = 407,146.07 × 165,972.38
  4. Step 4: Simplify right side
    295,033.82x = 67,575,003,678.34
  5. Step 5: Solve for x
    x = 67,575,003,678.34/295,033.82
  6. Step 6: Final answer
    x = 229,041.55

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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.