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Finding the Fourth Proportional to 114,053.36, 171,069.06 and 35,146.40

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Solution

The fourth proportional to 114,053.36, 171,069.06 and 35,146.40 is: 52,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,053.36 : 171,069.06 = 35,146.40 : x
  2. Step 2: Convert to fraction form
    114,053.36/171,069.06 = 35,146.40/x
  3. Step 3: Cross multiply
    114,053.36x = 171,069.06 × 35,146.40
  4. Step 4: Simplify right side
    114,053.36x = 6,012,461,610.38
  5. Step 5: Solve for x
    x = 6,012,461,610.38/114,053.36
  6. Step 6: Final answer
    x = 52,716.22

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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.