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Finding the Fourth Proportional to 148,871.60, 223,307.40 and 137,466.80

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Solution

The fourth proportional to 148,871.60, 223,307.40 and 137,466.80 is: 206,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,871.60 : 223,307.40 = 137,466.80 : x
  2. Step 2: Convert to fraction form
    148,871.60/223,307.40 = 137,466.80/x
  3. Step 3: Cross multiply
    148,871.60x = 223,307.40 × 137,466.80
  4. Step 4: Simplify right side
    148,871.60x = 30,697,353,694.32
  5. Step 5: Solve for x
    x = 30,697,353,694.32/148,871.60
  6. Step 6: Final answer
    x = 206,200.20

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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.