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Finding the Fourth Proportional to 201,553.60, 302,427.60 and 142,261.60

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Solution

The fourth proportional to 201,553.60, 302,427.60 and 142,261.60 is: 213,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,553.60 : 302,427.60 = 142,261.60 : x
  2. Step 2: Convert to fraction form
    201,553.60/302,427.60 = 142,261.60/x
  3. Step 3: Cross multiply
    201,553.60x = 302,427.60 × 142,261.60
  4. Step 4: Simplify right side
    201,553.60x = 43,023,834,260.16
  5. Step 5: Solve for x
    x = 43,023,834,260.16/201,553.60
  6. Step 6: Final answer
    x = 213,461.01

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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.