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Finding the Fourth Proportional to 154,783.52, 232,102.81 and 54,941.50

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Solution

The fourth proportional to 154,783.52, 232,102.81 and 54,941.50 is: 82,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,783.52 : 232,102.81 = 54,941.50 : x
  2. Step 2: Convert to fraction form
    154,783.52/232,102.81 = 54,941.50/x
  3. Step 3: Cross multiply
    154,783.52x = 232,102.81 × 54,941.50
  4. Step 4: Simplify right side
    154,783.52x = 12,752,076,535.62
  5. Step 5: Solve for x
    x = 12,752,076,535.62/154,783.52
  6. Step 6: Final answer
    x = 82,386.53

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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.