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Finding the Fourth Proportional to 224,802.63, 310,223.91 and 122,825.88

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Solution

The fourth proportional to 224,802.63, 310,223.91 and 122,825.88 is: 169,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,802.63 : 310,223.91 = 122,825.88 : x
  2. Step 2: Convert to fraction form
    224,802.63/310,223.91 = 122,825.88/x
  3. Step 3: Cross multiply
    224,802.63x = 310,223.91 × 122,825.88
  4. Step 4: Simplify right side
    224,802.63x = 38,103,524,742.79
  5. Step 5: Solve for x
    x = 38,103,524,742.79/224,802.63
  6. Step 6: Final answer
    x = 169,497.68

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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.