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Finding the Fourth Proportional to 285,416.30, 427,543.14 and 135,201.26

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Solution

The fourth proportional to 285,416.30, 427,543.14 and 135,201.26 is: 202,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,416.30 : 427,543.14 = 135,201.26 : x
  2. Step 2: Convert to fraction form
    285,416.30/427,543.14 = 135,201.26/x
  3. Step 3: Cross multiply
    285,416.30x = 427,543.14 × 135,201.26
  4. Step 4: Simplify right side
    285,416.30x = 57,804,371,232.36
  5. Step 5: Solve for x
    x = 57,804,371,232.36/285,416.30
  6. Step 6: Final answer
    x = 202,526.52

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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.