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Finding the Fourth Proportional to 116,563.65, 174,845.48 and 77,111.54

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Solution

The fourth proportional to 116,563.65, 174,845.48 and 77,111.54 is: 115,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,563.65 : 174,845.48 = 77,111.54 : x
  2. Step 2: Convert to fraction form
    116,563.65/174,845.48 = 77,111.54/x
  3. Step 3: Cross multiply
    116,563.65x = 174,845.48 × 77,111.54
  4. Step 4: Simplify right side
    116,563.65x = 13,482,603,837.60
  5. Step 5: Solve for x
    x = 13,482,603,837.60/116,563.65
  6. Step 6: Final answer
    x = 115,667.31

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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.