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Finding the Fourth Proportional to 265,893.34, 367,068.23 and 205,328.02

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Solution

The fourth proportional to 265,893.34, 367,068.23 and 205,328.02 is: 283,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,893.34 : 367,068.23 = 205,328.02 : x
  2. Step 2: Convert to fraction form
    265,893.34/367,068.23 = 205,328.02/x
  3. Step 3: Cross multiply
    265,893.34x = 367,068.23 × 205,328.02
  4. Step 4: Simplify right side
    265,893.34x = 75,369,392,870.80
  5. Step 5: Solve for x
    x = 75,369,392,870.80/265,893.34
  6. Step 6: Final answer
    x = 283,457.24

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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.