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Finding the Fourth Proportional to 208,178.25, 312,276.02 and 60,434.25

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Solution

The fourth proportional to 208,178.25, 312,276.02 and 60,434.25 is: 90,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,178.25 : 312,276.02 = 60,434.25 : x
  2. Step 2: Convert to fraction form
    208,178.25/312,276.02 = 60,434.25/x
  3. Step 3: Cross multiply
    208,178.25x = 312,276.02 × 60,434.25
  4. Step 4: Simplify right side
    208,178.25x = 18,872,166,759.51
  5. Step 5: Solve for x
    x = 18,872,166,759.51/208,178.25
  6. Step 6: Final answer
    x = 90,653.88

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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.