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Finding the Fourth Proportional to 121,410.98, 182,133.12 and 41,427.50

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Solution

The fourth proportional to 121,410.98, 182,133.12 and 41,427.50 is: 62,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,410.98 : 182,133.12 = 41,427.50 : x
  2. Step 2: Convert to fraction form
    121,410.98/182,133.12 = 41,427.50/x
  3. Step 3: Cross multiply
    121,410.98x = 182,133.12 × 41,427.50
  4. Step 4: Simplify right side
    121,410.98x = 7,545,319,828.80
  5. Step 5: Solve for x
    x = 7,545,319,828.80/121,410.98
  6. Step 6: Final answer
    x = 62,146.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.