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Finding the Fourth Proportional to 124,182.18, 186,304.71 and 35,436

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Solution

The fourth proportional to 124,182.18, 186,304.71 and 35,436 is: 53,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,182.18 : 186,304.71 = 35,436 : x
  2. Step 2: Convert to fraction form
    124,182.18/186,304.71 = 35,436/x
  3. Step 3: Cross multiply
    124,182.18x = 186,304.71 × 35,436
  4. Step 4: Simplify right side
    124,182.18x = 6,601,893,703.56
  5. Step 5: Solve for x
    x = 6,601,893,703.56/124,182.18
  6. Step 6: Final answer
    x = 53,162.97

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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.