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Finding the Fourth Proportional to 232,729.80, 349,094.70 and 114,631.80

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Solution

The fourth proportional to 232,729.80, 349,094.70 and 114,631.80 is: 171,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,729.80 : 349,094.70 = 114,631.80 : x
  2. Step 2: Convert to fraction form
    232,729.80/349,094.70 = 114,631.80/x
  3. Step 3: Cross multiply
    232,729.80x = 349,094.70 × 114,631.80
  4. Step 4: Simplify right side
    232,729.80x = 40,017,353,831.46
  5. Step 5: Solve for x
    x = 40,017,353,831.46/232,729.80
  6. Step 6: Final answer
    x = 171,947.70

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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.