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Finding the Fourth Proportional to 354,102.48, 488,661.48 and 192,957.60

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Solution

The fourth proportional to 354,102.48, 488,661.48 and 192,957.60 is: 266,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,102.48 : 488,661.48 = 192,957.60 : x
  2. Step 2: Convert to fraction form
    354,102.48/488,661.48 = 192,957.60/x
  3. Step 3: Cross multiply
    354,102.48x = 488,661.48 × 192,957.60
  4. Step 4: Simplify right side
    354,102.48x = 94,290,946,393.25
  5. Step 5: Solve for x
    x = 94,290,946,393.25/354,102.48
  6. Step 6: Final answer
    x = 266,281.52

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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.