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Finding the Fourth Proportional to 301,139.24, 415,569.32 and 165,170.40

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Solution

The fourth proportional to 301,139.24, 415,569.32 and 165,170.40 is: 227,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,139.24 : 415,569.32 = 165,170.40 : x
  2. Step 2: Convert to fraction form
    301,139.24/415,569.32 = 165,170.40/x
  3. Step 3: Cross multiply
    301,139.24x = 415,569.32 × 165,170.40
  4. Step 4: Simplify right side
    301,139.24x = 68,639,750,812.13
  5. Step 5: Solve for x
    x = 68,639,750,812.13/301,139.24
  6. Step 6: Final answer
    x = 227,933.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.