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Finding the Fourth Proportional to 146,117.20, 218,738.40 and 137,466.40

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Solution

The fourth proportional to 146,117.20, 218,738.40 and 137,466.40 is: 205,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,117.20 : 218,738.40 = 137,466.40 : x
  2. Step 2: Convert to fraction form
    146,117.20/218,738.40 = 137,466.40/x
  3. Step 3: Cross multiply
    146,117.20x = 218,738.40 × 137,466.40
  4. Step 4: Simplify right side
    146,117.20x = 30,069,180,389.76
  5. Step 5: Solve for x
    x = 30,069,180,389.76/146,117.20
  6. Step 6: Final answer
    x = 205,788.10

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