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Finding the Fourth Proportional to 232,730.80, 349,096.20 and 114,632.80

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Solution

The fourth proportional to 232,730.80, 349,096.20 and 114,632.80 is: 171,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,730.80 : 349,096.20 = 114,632.80 : x
  2. Step 2: Convert to fraction form
    232,730.80/349,096.20 = 114,632.80/x
  3. Step 3: Cross multiply
    232,730.80x = 349,096.20 × 114,632.80
  4. Step 4: Simplify right side
    232,730.80x = 40,017,874,875.36
  5. Step 5: Solve for x
    x = 40,017,874,875.36/232,730.80
  6. Step 6: Final answer
    x = 171,949.20

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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.