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Finding the Fourth Proportional to 114,167.70, 157,447.36 and 98,029.97

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Solution

The fourth proportional to 114,167.70, 157,447.36 and 98,029.97 is: 135,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,167.70 : 157,447.36 = 98,029.97 : x
  2. Step 2: Convert to fraction form
    114,167.70/157,447.36 = 98,029.97/x
  3. Step 3: Cross multiply
    114,167.70x = 157,447.36 × 98,029.97
  4. Step 4: Simplify right side
    114,167.70x = 15,434,559,977.38
  5. Step 5: Solve for x
    x = 15,434,559,977.38/114,167.70
  6. Step 6: Final answer
    x = 135,192.00

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Why These Related Problems?

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