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Finding the Fourth Proportional to 265,085.40, 365,817.72 and 144,226.53

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Solution

The fourth proportional to 265,085.40, 365,817.72 and 144,226.53 is: 199,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,085.40 : 365,817.72 = 144,226.53 : x
  2. Step 2: Convert to fraction form
    265,085.40/365,817.72 = 144,226.53/x
  3. Step 3: Cross multiply
    265,085.40x = 365,817.72 × 144,226.53
  4. Step 4: Simplify right side
    265,085.40x = 52,760,620,368.11
  5. Step 5: Solve for x
    x = 52,760,620,368.11/265,085.40
  6. Step 6: Final answer
    x = 199,032.54

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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.