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Finding the Fourth Proportional to 265,069.53, 397,534.50 and 180,814.01

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Solution

The fourth proportional to 265,069.53, 397,534.50 and 180,814.01 is: 271,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,069.53 : 397,534.50 = 180,814.01 : x
  2. Step 2: Convert to fraction form
    265,069.53/397,534.50 = 180,814.01/x
  3. Step 3: Cross multiply
    265,069.53x = 397,534.50 × 180,814.01
  4. Step 4: Simplify right side
    265,069.53x = 71,879,805,070.67
  5. Step 5: Solve for x
    x = 71,879,805,070.67/265,069.53
  6. Step 6: Final answer
    x = 271,173.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.