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Finding the Fourth Proportional to 145,425.60, 218,138.40 and 144,388.80

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Solution

The fourth proportional to 145,425.60, 218,138.40 and 144,388.80 is: 216,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,425.60 : 218,138.40 = 144,388.80 : x
  2. Step 2: Convert to fraction form
    145,425.60/218,138.40 = 144,388.80/x
  3. Step 3: Cross multiply
    145,425.60x = 218,138.40 × 144,388.80
  4. Step 4: Simplify right side
    145,425.60x = 31,496,741,809.92
  5. Step 5: Solve for x
    x = 31,496,741,809.92/145,425.60
  6. Step 6: Final answer
    x = 216,583.20

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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.