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Finding the Fourth Proportional to 224,738.30, 310,126.98 and 122,762.28

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Solution

The fourth proportional to 224,738.30, 310,126.98 and 122,762.28 is: 169,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,738.30 : 310,126.98 = 122,762.28 : x
  2. Step 2: Convert to fraction form
    224,738.30/310,126.98 = 122,762.28/x
  3. Step 3: Cross multiply
    224,738.30x = 310,126.98 × 122,762.28
  4. Step 4: Simplify right side
    224,738.30x = 38,071,895,154.31
  5. Step 5: Solve for x
    x = 38,071,895,154.31/224,738.30
  6. Step 6: Final answer
    x = 169,405.46

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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.