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Finding the Fourth Proportional to 148,903.20, 223,354.80 and 138,988.80

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Solution

The fourth proportional to 148,903.20, 223,354.80 and 138,988.80 is: 208,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,903.20 : 223,354.80 = 138,988.80 : x
  2. Step 2: Convert to fraction form
    148,903.20/223,354.80 = 138,988.80/x
  3. Step 3: Cross multiply
    148,903.20x = 223,354.80 × 138,988.80
  4. Step 4: Simplify right side
    148,903.20x = 31,043,815,626.24
  5. Step 5: Solve for x
    x = 31,043,815,626.24/148,903.20
  6. Step 6: Final answer
    x = 208,483.20

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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.