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Finding the Fourth Proportional to 302,250.55, 417,105.75 and 166,281.58

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Solution

The fourth proportional to 302,250.55, 417,105.75 and 166,281.58 is: 229,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,250.55 : 417,105.75 = 166,281.58 : x
  2. Step 2: Convert to fraction form
    302,250.55/417,105.75 = 166,281.58/x
  3. Step 3: Cross multiply
    302,250.55x = 417,105.75 × 166,281.58
  4. Step 4: Simplify right side
    302,250.55x = 69,357,001,935.80
  5. Step 5: Solve for x
    x = 69,357,001,935.80/302,250.55
  6. Step 6: Final answer
    x = 229,468.57

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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.