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Finding the Fourth Proportional to 114,325.40, 171,002.10 and 102,564.20

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Solution

The fourth proportional to 114,325.40, 171,002.10 and 102,564.20 is: 153,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,325.40 : 171,002.10 = 102,564.20 : x
  2. Step 2: Convert to fraction form
    114,325.40/171,002.10 = 102,564.20/x
  3. Step 3: Cross multiply
    114,325.40x = 171,002.10 × 102,564.20
  4. Step 4: Simplify right side
    114,325.40x = 17,538,693,584.82
  5. Step 5: Solve for x
    x = 17,538,693,584.82/114,325.40
  6. Step 6: Final answer
    x = 153,410.30

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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.