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Finding the Fourth Proportional to 208,574.42, 312,845.30 and 58,808.66

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Solution

The fourth proportional to 208,574.42, 312,845.30 and 58,808.66 is: 88,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,574.42 : 312,845.30 = 58,808.66 : x
  2. Step 2: Convert to fraction form
    208,574.42/312,845.30 = 58,808.66/x
  3. Step 3: Cross multiply
    208,574.42x = 312,845.30 × 58,808.66
  4. Step 4: Simplify right side
    208,574.42x = 18,398,012,880.30
  5. Step 5: Solve for x
    x = 18,398,012,880.30/208,574.42
  6. Step 6: Final answer
    x = 88,208.39

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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.