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Finding the Fourth Proportional to 124,235, 186,381.66 and 41,129

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Solution

The fourth proportional to 124,235, 186,381.66 and 41,129 is: 61,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,235 : 186,381.66 = 41,129 : x
  2. Step 2: Convert to fraction form
    124,235/186,381.66 = 41,129/x
  3. Step 3: Cross multiply
    124,235x = 186,381.66 × 41,129
  4. Step 4: Simplify right side
    124,235x = 7,665,691,294.14
  5. Step 5: Solve for x
    x = 7,665,691,294.14/124,235
  6. Step 6: Final answer
    x = 61,703.15

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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.