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Finding the Fourth Proportional to 202,314.57, 279,152.43 and 116,256.93

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Solution

The fourth proportional to 202,314.57, 279,152.43 and 116,256.93 is: 160,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,314.57 : 279,152.43 = 116,256.93 : x
  2. Step 2: Convert to fraction form
    202,314.57/279,152.43 = 116,256.93/x
  3. Step 3: Cross multiply
    202,314.57x = 279,152.43 × 116,256.93
  4. Step 4: Simplify right side
    202,314.57x = 32,453,404,513.84
  5. Step 5: Solve for x
    x = 32,453,404,513.84/202,314.57
  6. Step 6: Final answer
    x = 160,410.61

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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.