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Finding the Fourth Proportional to 254,455.80, 381,683.70 and 154,811.40

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Solution

The fourth proportional to 254,455.80, 381,683.70 and 154,811.40 is: 232,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,455.80 : 381,683.70 = 154,811.40 : x
  2. Step 2: Convert to fraction form
    254,455.80/381,683.70 = 154,811.40/x
  3. Step 3: Cross multiply
    254,455.80x = 381,683.70 × 154,811.40
  4. Step 4: Simplify right side
    254,455.80x = 59,088,987,954.18
  5. Step 5: Solve for x
    x = 59,088,987,954.18/254,455.80
  6. Step 6: Final answer
    x = 232,217.10

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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.