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Finding the Fourth Proportional to 232,725.80, 349,088.70 and 114,627.80

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Solution

The fourth proportional to 232,725.80, 349,088.70 and 114,627.80 is: 171,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,725.80 : 349,088.70 = 114,627.80 : x
  2. Step 2: Convert to fraction form
    232,725.80/349,088.70 = 114,627.80/x
  3. Step 3: Cross multiply
    232,725.80x = 349,088.70 × 114,627.80
  4. Step 4: Simplify right side
    232,725.80x = 40,015,269,685.86
  5. Step 5: Solve for x
    x = 40,015,269,685.86/232,725.80
  6. Step 6: Final answer
    x = 171,941.70

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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.