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Finding the Fourth Proportional to 224,784.06, 310,223.45 and 122,825.01

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Solution

The fourth proportional to 224,784.06, 310,223.45 and 122,825.01 is: 169,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,784.06 : 310,223.45 = 122,825.01 : x
  2. Step 2: Convert to fraction form
    224,784.06/310,223.45 = 122,825.01/x
  3. Step 3: Cross multiply
    224,784.06x = 310,223.45 × 122,825.01
  4. Step 4: Simplify right side
    224,784.06x = 38,103,198,348.48
  5. Step 5: Solve for x
    x = 38,103,198,348.48/224,784.06
  6. Step 6: Final answer
    x = 169,510.23

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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.