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Finding the Fourth Proportional to 114,214.13, 171,343.05 and 35,314.46

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Solution

The fourth proportional to 114,214.13, 171,343.05 and 35,314.46 is: 52,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,214.13 : 171,343.05 = 35,314.46 : x
  2. Step 2: Convert to fraction form
    114,214.13/171,343.05 = 35,314.46/x
  3. Step 3: Cross multiply
    114,214.13x = 171,343.05 × 35,314.46
  4. Step 4: Simplify right side
    114,214.13x = 6,050,887,285.50
  5. Step 5: Solve for x
    x = 6,050,887,285.50/114,214.13
  6. Step 6: Final answer
    x = 52,978.45

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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.