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Finding the Fourth Proportional to 157,672.65, 217,588.86 and 86,054.25

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Solution

The fourth proportional to 157,672.65, 217,588.86 and 86,054.25 is: 118,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,672.65 : 217,588.86 = 86,054.25 : x
  2. Step 2: Convert to fraction form
    157,672.65/217,588.86 = 86,054.25/x
  3. Step 3: Cross multiply
    157,672.65x = 217,588.86 × 86,054.25
  4. Step 4: Simplify right side
    157,672.65x = 18,724,446,155.66
  5. Step 5: Solve for x
    x = 18,724,446,155.66/157,672.65
  6. Step 6: Final answer
    x = 118,755.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.