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Finding the Fourth Proportional to 301,307.12, 415,802.68 and 165,343.32

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Solution

The fourth proportional to 301,307.12, 415,802.68 and 165,343.32 is: 228,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,307.12 : 415,802.68 = 165,343.32 : x
  2. Step 2: Convert to fraction form
    301,307.12/415,802.68 = 165,343.32/x
  3. Step 3: Cross multiply
    301,307.12x = 415,802.68 × 165,343.32
  4. Step 4: Simplify right side
    301,307.12x = 68,750,195,576.10
  5. Step 5: Solve for x
    x = 68,750,195,576.10/301,307.12
  6. Step 6: Final answer
    x = 228,173.15

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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.