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Finding the Fourth Proportional to 302,066.55, 416,878.38 and 166,124.43

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Solution

The fourth proportional to 302,066.55, 416,878.38 and 166,124.43 is: 229,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,066.55 : 416,878.38 = 166,124.43 : x
  2. Step 2: Convert to fraction form
    302,066.55/416,878.38 = 166,124.43/x
  3. Step 3: Cross multiply
    302,066.55x = 416,878.38 × 166,124.43
  4. Step 4: Simplify right side
    302,066.55x = 69,253,683,256.82
  5. Step 5: Solve for x
    x = 69,253,683,256.82/302,066.55
  6. Step 6: Final answer
    x = 229,266.31

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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.