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Finding the Fourth Proportional to 224,802.54, 310,223.86 and 122,825.82

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Solution

The fourth proportional to 224,802.54, 310,223.86 and 122,825.82 is: 169,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,802.54 : 310,223.86 = 122,825.82 : x
  2. Step 2: Convert to fraction form
    224,802.54/310,223.86 = 122,825.82/x
  3. Step 3: Cross multiply
    224,802.54x = 310,223.86 × 122,825.82
  4. Step 4: Simplify right side
    224,802.54x = 38,103,499,988.07
  5. Step 5: Solve for x
    x = 38,103,499,988.07/224,802.54
  6. Step 6: Final answer
    x = 169,497.64

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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.