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Finding the Fourth Proportional to 116,809.83, 175,220.55 and 56,893.32

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Solution

The fourth proportional to 116,809.83, 175,220.55 and 56,893.32 is: 85,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,809.83 : 175,220.55 = 56,893.32 : x
  2. Step 2: Convert to fraction form
    116,809.83/175,220.55 = 56,893.32/x
  3. Step 3: Cross multiply
    116,809.83x = 175,220.55 × 56,893.32
  4. Step 4: Simplify right side
    116,809.83x = 9,968,878,821.73
  5. Step 5: Solve for x
    x = 9,968,878,821.73/116,809.83
  6. Step 6: Final answer
    x = 85,342.81

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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.