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Finding the Fourth Proportional to 114,003.40, 171,005.10 and 35,141.80

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Solution

The fourth proportional to 114,003.40, 171,005.10 and 35,141.80 is: 52,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,003.40 : 171,005.10 = 35,141.80 : x
  2. Step 2: Convert to fraction form
    114,003.40/171,005.10 = 35,141.80/x
  3. Step 3: Cross multiply
    114,003.40x = 171,005.10 × 35,141.80
  4. Step 4: Simplify right side
    114,003.40x = 6,009,427,023.18
  5. Step 5: Solve for x
    x = 6,009,427,023.18/114,003.40
  6. Step 6: Final answer
    x = 52,712.70

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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.