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Finding the Fourth Proportional to 118,291.56, 177,437.34 and 69,009

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Solution

The fourth proportional to 118,291.56, 177,437.34 and 69,009 is: 103,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,291.56 : 177,437.34 = 69,009 : x
  2. Step 2: Convert to fraction form
    118,291.56/177,437.34 = 69,009/x
  3. Step 3: Cross multiply
    118,291.56x = 177,437.34 × 69,009
  4. Step 4: Simplify right side
    118,291.56x = 12,244,773,396.06
  5. Step 5: Solve for x
    x = 12,244,773,396.06/118,291.56
  6. Step 6: Final answer
    x = 103,513.50

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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.