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Finding the Fourth Proportional to 114,214.63, 171,343.80 and 35,314.96

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Solution

The fourth proportional to 114,214.63, 171,343.80 and 35,314.96 is: 52,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,214.63 : 171,343.80 = 35,314.96 : x
  2. Step 2: Convert to fraction form
    114,214.63/171,343.80 = 35,314.96/x
  3. Step 3: Cross multiply
    114,214.63x = 171,343.80 × 35,314.96
  4. Step 4: Simplify right side
    114,214.63x = 6,050,999,443.25
  5. Step 5: Solve for x
    x = 6,050,999,443.25/114,214.63
  6. Step 6: Final answer
    x = 52,979.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.