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Finding the Fourth Proportional to 126,213.63, 174,143.73 and 77,142.82

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Solution

The fourth proportional to 126,213.63, 174,143.73 and 77,142.82 is: 106,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,213.63 : 174,143.73 = 77,142.82 : x
  2. Step 2: Convert to fraction form
    126,213.63/174,143.73 = 77,142.82/x
  3. Step 3: Cross multiply
    126,213.63x = 174,143.73 × 77,142.82
  4. Step 4: Simplify right side
    126,213.63x = 13,433,938,417.52
  5. Step 5: Solve for x
    x = 13,433,938,417.52/126,213.63
  6. Step 6: Final answer
    x = 106,438.10

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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.