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Finding the Fourth Proportional to 302,033.95, 416,807.94 and 166,076.47

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Solution

The fourth proportional to 302,033.95, 416,807.94 and 166,076.47 is: 229,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,033.95 : 416,807.94 = 166,076.47 : x
  2. Step 2: Convert to fraction form
    302,033.95/416,807.94 = 166,076.47/x
  3. Step 3: Cross multiply
    302,033.95x = 416,807.94 × 166,076.47
  4. Step 4: Simplify right side
    302,033.95x = 69,221,991,343.17
  5. Step 5: Solve for x
    x = 69,221,991,343.17/302,033.95
  6. Step 6: Final answer
    x = 229,186.13

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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.