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Finding the Fourth Proportional to 98,822.40, 148,233.60 and 92,601.60

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Solution

The fourth proportional to 98,822.40, 148,233.60 and 92,601.60 is: 138,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,822.40 : 148,233.60 = 92,601.60 : x
  2. Step 2: Convert to fraction form
    98,822.40/148,233.60 = 92,601.60/x
  3. Step 3: Cross multiply
    98,822.40x = 148,233.60 × 92,601.60
  4. Step 4: Simplify right side
    98,822.40x = 13,726,668,533.76
  5. Step 5: Solve for x
    x = 13,726,668,533.76/98,822.40
  6. Step 6: Final answer
    x = 138,902.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.