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Finding the Fourth Proportional to 114,657.86, 172,054.45 and 43,640.29

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Solution

The fourth proportional to 114,657.86, 172,054.45 and 43,640.29 is: 65,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,657.86 : 172,054.45 = 43,640.29 : x
  2. Step 2: Convert to fraction form
    114,657.86/172,054.45 = 43,640.29/x
  3. Step 3: Cross multiply
    114,657.86x = 172,054.45 × 43,640.29
  4. Step 4: Simplify right side
    114,657.86x = 7,508,506,093.79
  5. Step 5: Solve for x
    x = 7,508,506,093.79/114,657.86
  6. Step 6: Final answer
    x = 65,486.19

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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.