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Finding the Fourth Proportional to 301,904.42, 416,638.08 and 165,943.18

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Solution

The fourth proportional to 301,904.42, 416,638.08 and 165,943.18 is: 229,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,904.42 : 416,638.08 = 165,943.18 : x
  2. Step 2: Convert to fraction form
    301,904.42/416,638.08 = 165,943.18/x
  3. Step 3: Cross multiply
    301,904.42x = 416,638.08 × 165,943.18
  4. Step 4: Simplify right side
    301,904.42x = 69,138,248,425.09
  5. Step 5: Solve for x
    x = 69,138,248,425.09/301,904.42
  6. Step 6: Final answer
    x = 229,007.08

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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.