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Finding the Fourth Proportional to 224,751.24, 310,420.01 and 178,964.17

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Solution

The fourth proportional to 224,751.24, 310,420.01 and 178,964.17 is: 247,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,751.24 : 310,420.01 = 178,964.17 : x
  2. Step 2: Convert to fraction form
    224,751.24/310,420.01 = 178,964.17/x
  3. Step 3: Cross multiply
    224,751.24x = 310,420.01 × 178,964.17
  4. Step 4: Simplify right side
    224,751.24x = 55,554,059,112.40
  5. Step 5: Solve for x
    x = 55,554,059,112.40/224,751.24
  6. Step 6: Final answer
    x = 247,180.21

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1.5x scale

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.