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Finding the Fourth Proportional to 124,183.18, 186,306.21 and 35,437

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Solution

The fourth proportional to 124,183.18, 186,306.21 and 35,437 is: 53,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,183.18 : 186,306.21 = 35,437 : x
  2. Step 2: Convert to fraction form
    124,183.18/186,306.21 = 35,437/x
  3. Step 3: Cross multiply
    124,183.18x = 186,306.21 × 35,437
  4. Step 4: Simplify right side
    124,183.18x = 6,602,133,163.77
  5. Step 5: Solve for x
    x = 6,602,133,163.77/124,183.18
  6. Step 6: Final answer
    x = 53,164.47

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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.