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Finding the Fourth Proportional to 124,541, 186,813.12 and 41,435

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Solution

The fourth proportional to 124,541, 186,813.12 and 41,435 is: 62,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,541 : 186,813.12 = 41,435 : x
  2. Step 2: Convert to fraction form
    124,541/186,813.12 = 41,435/x
  3. Step 3: Cross multiply
    124,541x = 186,813.12 × 41,435
  4. Step 4: Simplify right side
    124,541x = 7,740,601,627.20
  5. Step 5: Solve for x
    x = 7,740,601,627.20/124,541
  6. Step 6: Final answer
    x = 62,153.04

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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.