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Finding the Fourth Proportional to 224,056.80, 335,696.40 and 145,130.40

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Solution

The fourth proportional to 224,056.80, 335,696.40 and 145,130.40 is: 217,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,056.80 : 335,696.40 = 145,130.40 : x
  2. Step 2: Convert to fraction form
    224,056.80/335,696.40 = 145,130.40/x
  3. Step 3: Cross multiply
    224,056.80x = 335,696.40 × 145,130.40
  4. Step 4: Simplify right side
    224,056.80x = 48,719,752,810.56
  5. Step 5: Solve for x
    x = 48,719,752,810.56/224,056.80
  6. Step 6: Final answer
    x = 217,443.76

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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.