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Finding the Fourth Proportional to 232,314, 320,543.88 and 136,785.84

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Solution

The fourth proportional to 232,314, 320,543.88 and 136,785.84 is: 188,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,314 : 320,543.88 = 136,785.84 : x
  2. Step 2: Convert to fraction form
    232,314/320,543.88 = 136,785.84/x
  3. Step 3: Cross multiply
    232,314x = 320,543.88 × 136,785.84
  4. Step 4: Simplify right side
    232,314x = 43,845,863,882.66
  5. Step 5: Solve for x
    x = 43,845,863,882.66/232,314
  6. Step 6: Final answer
    x = 188,735.35

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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.