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Finding the Fourth Proportional to 301,948.28, 416,693.81 and 165,987.96

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Solution

The fourth proportional to 301,948.28, 416,693.81 and 165,987.96 is: 229,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,948.28 : 416,693.81 = 165,987.96 : x
  2. Step 2: Convert to fraction form
    301,948.28/416,693.81 = 165,987.96/x
  3. Step 3: Cross multiply
    301,948.28x = 416,693.81 × 165,987.96
  4. Step 4: Simplify right side
    301,948.28x = 69,166,154,636.59
  5. Step 5: Solve for x
    x = 69,166,154,636.59/301,948.28
  6. Step 6: Final answer
    x = 229,066.24

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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.