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Finding the Fourth Proportional to 84,201.34, 116,197.77 and 46,475.50

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Solution

The fourth proportional to 84,201.34, 116,197.77 and 46,475.50 is: 64,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,201.34 : 116,197.77 = 46,475.50 : x
  2. Step 2: Convert to fraction form
    84,201.34/116,197.77 = 46,475.50/x
  3. Step 3: Cross multiply
    84,201.34x = 116,197.77 × 46,475.50
  4. Step 4: Simplify right side
    84,201.34x = 5,400,349,343.42
  5. Step 5: Solve for x
    x = 5,400,349,343.42/84,201.34
  6. Step 6: Final answer
    x = 64,136.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.