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Finding the Fourth Proportional to 302,716.32, 417,751.47 and 166,750.89

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Solution

The fourth proportional to 302,716.32, 417,751.47 and 166,750.89 is: 230,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,716.32 : 417,751.47 = 166,750.89 : x
  2. Step 2: Convert to fraction form
    302,716.32/417,751.47 = 166,750.89/x
  3. Step 3: Cross multiply
    302,716.32x = 417,751.47 × 166,750.89
  4. Step 4: Simplify right side
    302,716.32x = 69,660,429,421.31
  5. Step 5: Solve for x
    x = 69,660,429,421.31/302,716.32
  6. Step 6: Final answer
    x = 230,117.85

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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.