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Finding the Fourth Proportional to 208,423.94, 313,054.37 and 124,348.13

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Solution

The fourth proportional to 208,423.94, 313,054.37 and 124,348.13 is: 186,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,423.94 : 313,054.37 = 124,348.13 : x
  2. Step 2: Convert to fraction form
    208,423.94/313,054.37 = 124,348.13/x
  3. Step 3: Cross multiply
    208,423.94x = 313,054.37 × 124,348.13
  4. Step 4: Simplify right side
    208,423.94x = 38,927,724,951.08
  5. Step 5: Solve for x
    x = 38,927,724,951.08/208,423.94
  6. Step 6: Final answer
    x = 186,771.85

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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.