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Finding the Fourth Proportional to 125,716.61, 188,534.88 and 41,461.03

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Solution

The fourth proportional to 125,716.61, 188,534.88 and 41,461.03 is: 62,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,716.61 : 188,534.88 = 41,461.03 : x
  2. Step 2: Convert to fraction form
    125,716.61/188,534.88 = 41,461.03/x
  3. Step 3: Cross multiply
    125,716.61x = 188,534.88 × 41,461.03
  4. Step 4: Simplify right side
    125,716.61x = 7,816,849,373.05
  5. Step 5: Solve for x
    x = 7,816,849,373.05/125,716.61
  6. Step 6: Final answer
    x = 62,178.33

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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.