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Finding the Fourth Proportional to 302,124.59, 416,936.72 and 166,164.47

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Solution

The fourth proportional to 302,124.59, 416,936.72 and 166,164.47 is: 229,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,124.59 : 416,936.72 = 166,164.47 : x
  2. Step 2: Convert to fraction form
    302,124.59/416,936.72 = 166,164.47/x
  3. Step 3: Cross multiply
    302,124.59x = 416,936.72 × 166,164.47
  4. Step 4: Simplify right side
    302,124.59x = 69,280,069,102.34
  5. Step 5: Solve for x
    x = 69,280,069,102.34/302,124.59
  6. Step 6: Final answer
    x = 229,309.60

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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.