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Finding the Fourth Proportional to 98,948.80, 148,423.20 and 25,076.80

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Solution

The fourth proportional to 98,948.80, 148,423.20 and 25,076.80 is: 37,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,948.80 : 148,423.20 = 25,076.80 : x
  2. Step 2: Convert to fraction form
    98,948.80/148,423.20 = 25,076.80/x
  3. Step 3: Cross multiply
    98,948.80x = 148,423.20 × 25,076.80
  4. Step 4: Simplify right side
    98,948.80x = 3,721,978,901.76
  5. Step 5: Solve for x
    x = 3,721,978,901.76/98,948.80
  6. Step 6: Final answer
    x = 37,615.20

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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.