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Finding the Fourth Proportional to 301,957.13, 416,710.17 and 166,001.47

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Solution

The fourth proportional to 301,957.13, 416,710.17 and 166,001.47 is: 229,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,957.13 : 416,710.17 = 166,001.47 : x
  2. Step 2: Convert to fraction form
    301,957.13/416,710.17 = 166,001.47/x
  3. Step 3: Cross multiply
    301,957.13x = 416,710.17 × 166,001.47
  4. Step 4: Simplify right side
    301,957.13x = 69,174,499,742.17
  5. Step 5: Solve for x
    x = 69,174,499,742.17/301,957.13
  6. Step 6: Final answer
    x = 229,087.15

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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.