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Finding the Fourth Proportional to 124,242, 186,392.16 and 41,136

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Solution

The fourth proportional to 124,242, 186,392.16 and 41,136 is: 61,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,242 : 186,392.16 = 41,136 : x
  2. Step 2: Convert to fraction form
    124,242/186,392.16 = 41,136/x
  3. Step 3: Cross multiply
    124,242x = 186,392.16 × 41,136
  4. Step 4: Simplify right side
    124,242x = 7,667,427,893.76
  5. Step 5: Solve for x
    x = 7,667,427,893.76/124,242
  6. Step 6: Final answer
    x = 61,713.65

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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.