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Finding the Fourth Proportional to 176,056.20, 263,792.70 and 149,812.20

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Solution

The fourth proportional to 176,056.20, 263,792.70 and 149,812.20 is: 224,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,056.20 : 263,792.70 = 149,812.20 : x
  2. Step 2: Convert to fraction form
    176,056.20/263,792.70 = 149,812.20/x
  3. Step 3: Cross multiply
    176,056.20x = 263,792.70 × 149,812.20
  4. Step 4: Simplify right side
    176,056.20x = 39,519,364,730.94
  5. Step 5: Solve for x
    x = 39,519,364,730.94/176,056.20
  6. Step 6: Final answer
    x = 224,470.17

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1.5x scale

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.