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Finding the Fourth Proportional to 208,840.34, 313,260.52 and 51,066.92

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Solution

The fourth proportional to 208,840.34, 313,260.52 and 51,066.92 is: 76,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,840.34 : 313,260.52 = 51,066.92 : x
  2. Step 2: Convert to fraction form
    208,840.34/313,260.52 = 51,066.92/x
  3. Step 3: Cross multiply
    208,840.34x = 313,260.52 × 51,066.92
  4. Step 4: Simplify right side
    208,840.34x = 15,997,249,914.00
  5. Step 5: Solve for x
    x = 15,997,249,914.00/208,840.34
  6. Step 6: Final answer
    x = 76,600.38

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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.