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Finding the Fourth Proportional to 224,783.30, 310,222.41 and 122,824.26

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Solution

The fourth proportional to 224,783.30, 310,222.41 and 122,824.26 is: 169,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,783.30 : 310,222.41 = 122,824.26 : x
  2. Step 2: Convert to fraction form
    224,783.30/310,222.41 = 122,824.26/x
  3. Step 3: Cross multiply
    224,783.30x = 310,222.41 × 122,824.26
  4. Step 4: Simplify right side
    224,783.30x = 38,102,837,943.67
  5. Step 5: Solve for x
    x = 38,102,837,943.67/224,783.30
  6. Step 6: Final answer
    x = 169,509.20

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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.