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Finding the Fourth Proportional to 154,033, 231,049.50 and 55,537

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Solution

The fourth proportional to 154,033, 231,049.50 and 55,537 is: 83,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,033 : 231,049.50 = 55,537 : x
  2. Step 2: Convert to fraction form
    154,033/231,049.50 = 55,537/x
  3. Step 3: Cross multiply
    154,033x = 231,049.50 × 55,537
  4. Step 4: Simplify right side
    154,033x = 12,831,796,081.50
  5. Step 5: Solve for x
    x = 12,831,796,081.50/154,033
  6. Step 6: Final answer
    x = 83,305.50

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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.