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Finding the Fourth Proportional to 76,999.60, 107,537 and 76,999.60

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Solution

The fourth proportional to 76,999.60, 107,537 and 76,999.60 is: 107,537

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,999.60 : 107,537 = 76,999.60 : x
  2. Step 2: Convert to fraction form
    76,999.60/107,537 = 76,999.60/x
  3. Step 3: Cross multiply
    76,999.60x = 107,537 × 76,999.60
  4. Step 4: Simplify right side
    76,999.60x = 8,280,305,985.20
  5. Step 5: Solve for x
    x = 8,280,305,985.20/76,999.60
  6. Step 6: Final answer
    x = 107,537

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.